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Finding the Third Proportional to 317,472 and 479,448

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Solution

The third proportional to 317,472 and 479,448 is: 724,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,472 : 479,448 = 479,448 : x
  2. Step 2: Convert to fraction form
    317,472/479,448 = 479,448/x
  3. Step 3: Cross multiply
    317,472x = 479,448 × 479,448
  4. Step 4: Simplify right side
    317,472x = 229,870,384,704
  5. Step 5: Solve for x
    x = 229,870,384,704/317,472
  6. Step 6: Final answer
    x = 724,065.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.