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Finding the Third Proportional to 407,952 and 573,472

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Solution

The third proportional to 407,952 and 573,472 is: 806,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,952 : 573,472 = 573,472 : x
  2. Step 2: Convert to fraction form
    407,952/573,472 = 573,472/x
  3. Step 3: Cross multiply
    407,952x = 573,472 × 573,472
  4. Step 4: Simplify right side
    407,952x = 328,870,134,784
  5. Step 5: Solve for x
    x = 328,870,134,784/407,952
  6. Step 6: Final answer
    x = 806,149.09

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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.