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Finding the Third Proportional to 297,386,864 and 418,046,790

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Solution

The third proportional to 297,386,864 and 418,046,790 is: 587,662,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,386,864 : 418,046,790 = 418,046,790 : x
  2. Step 2: Convert to fraction form
    297,386,864/418,046,790 = 418,046,790/x
  3. Step 3: Cross multiply
    297,386,864x = 418,046,790 × 418,046,790
  4. Step 4: Simplify right side
    297,386,864x = 174,763,118,629,304,096
  5. Step 5: Solve for x
    x = 174,763,118,629,304,096/297,386,864
  6. Step 6: Final answer
    x = 587,662,535.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.