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Finding the Third Proportional to 534,685.50 and 752,292

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Solution

The third proportional to 534,685.50 and 752,292 is: 1,058,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,685.50 : 752,292 = 752,292 : x
  2. Step 2: Convert to fraction form
    534,685.50/752,292 = 752,292/x
  3. Step 3: Cross multiply
    534,685.50x = 752,292 × 752,292
  4. Step 4: Simplify right side
    534,685.50x = 565,943,253,264
  5. Step 5: Solve for x
    x = 565,943,253,264/534,685.50
  6. Step 6: Final answer
    x = 1,058,460.07

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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.