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Finding the Third Proportional to 510,125.25 and 762,522.38

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Solution

The third proportional to 510,125.25 and 762,522.38 is: 1,139,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,125.25 : 762,522.38 = 762,522.38 : x
  2. Step 2: Convert to fraction form
    510,125.25/762,522.38 = 762,522.38/x
  3. Step 3: Cross multiply
    510,125.25x = 762,522.38 × 762,522.38
  4. Step 4: Simplify right side
    510,125.25x = 581,440,372,375.64
  5. Step 5: Solve for x
    x = 581,440,372,375.64/510,125.25
  6. Step 6: Final answer
    x = 1,139,799.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.