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Finding the Third Proportional to 269,504,398,380 and 418,639,560,465

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Solution

The third proportional to 269,504,398,380 and 418,639,560,465 is: 650,301,377,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,504,398,380 : 418,639,560,465 = 418,639,560,465 : x
  2. Step 2: Convert to fraction form
    269,504,398,380/418,639,560,465 = 418,639,560,465/x
  3. Step 3: Cross multiply
    269,504,398,380x = 418,639,560,465 × 418,639,560,465
  4. Step 4: Simplify right side
    269,504,398,380x = 175,259,081,586,328,394,006,528
  5. Step 5: Solve for x
    x = 175,259,081,586,328,394,006,528/269,504,398,380
  6. Step 6: Final answer
    x = 650,301,377,787.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.