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Finding the Third Proportional to 407,949 and 573,468

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Solution

The third proportional to 407,949 and 573,468 is: 806,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,949 : 573,468 = 573,468 : x
  2. Step 2: Convert to fraction form
    407,949/573,468 = 573,468/x
  3. Step 3: Cross multiply
    407,949x = 573,468 × 573,468
  4. Step 4: Simplify right side
    407,949x = 328,865,547,024
  5. Step 5: Solve for x
    x = 328,865,547,024/407,949
  6. Step 6: Final answer
    x = 806,143.78

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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.