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Finding the Third Proportional to 415,165.50 and 532,352.25

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Solution

The third proportional to 415,165.50 and 532,352.25 is: 682,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,165.50 : 532,352.25 = 532,352.25 : x
  2. Step 2: Convert to fraction form
    415,165.50/532,352.25 = 532,352.25/x
  3. Step 3: Cross multiply
    415,165.50x = 532,352.25 × 532,352.25
  4. Step 4: Simplify right side
    415,165.50x = 283,398,918,080.06
  5. Step 5: Solve for x
    x = 283,398,918,080.06/415,165.50
  6. Step 6: Final answer
    x = 682,616.73

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.