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Finding the Third Proportional to 200,470 and 311,418

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Solution

The third proportional to 200,470 and 311,418 is: 483,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,470 : 311,418 = 311,418 : x
  2. Step 2: Convert to fraction form
    200,470/311,418 = 311,418/x
  3. Step 3: Cross multiply
    200,470x = 311,418 × 311,418
  4. Step 4: Simplify right side
    200,470x = 96,981,170,724
  5. Step 5: Solve for x
    x = 96,981,170,724/200,470
  6. Step 6: Final answer
    x = 483,769.00

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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.