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Finding the Third Proportional to 567,702 and 671,382

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Solution

The third proportional to 567,702 and 671,382 is: 793,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,702 : 671,382 = 671,382 : x
  2. Step 2: Convert to fraction form
    567,702/671,382 = 671,382/x
  3. Step 3: Cross multiply
    567,702x = 671,382 × 671,382
  4. Step 4: Simplify right side
    567,702x = 450,753,789,924
  5. Step 5: Solve for x
    x = 450,753,789,924/567,702
  6. Step 6: Final answer
    x = 793,997.19

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.