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Finding the Third Proportional to 498,542.03 and 747,625.10

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Solution

The third proportional to 498,542.03 and 747,625.10 is: 1,121,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,542.03 : 747,625.10 = 747,625.10 : x
  2. Step 2: Convert to fraction form
    498,542.03/747,625.10 = 747,625.10/x
  3. Step 3: Cross multiply
    498,542.03x = 747,625.10 × 747,625.10
  4. Step 4: Simplify right side
    498,542.03x = 558,943,283,725.07
  5. Step 5: Solve for x
    x = 558,943,283,725.07/498,542.03
  6. Step 6: Final answer
    x = 1,121,155.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.