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Finding the Third Proportional to 407,951 and 573,471

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Solution

The third proportional to 407,951 and 573,471 is: 806,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,951 : 573,471 = 573,471 : x
  2. Step 2: Convert to fraction form
    407,951/573,471 = 573,471/x
  3. Step 3: Cross multiply
    407,951x = 573,471 × 573,471
  4. Step 4: Simplify right side
    407,951x = 328,868,987,841
  5. Step 5: Solve for x
    x = 328,868,987,841/407,951
  6. Step 6: Final answer
    x = 806,148.26

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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.