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Finding the Third Proportional to 510,124.50 and 762,521.25

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Solution

The third proportional to 510,124.50 and 762,521.25 is: 1,139,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,124.50 : 762,521.25 = 762,521.25 : x
  2. Step 2: Convert to fraction form
    510,124.50/762,521.25 = 762,521.25/x
  3. Step 3: Cross multiply
    510,124.50x = 762,521.25 × 762,521.25
  4. Step 4: Simplify right side
    510,124.50x = 581,438,656,701.56
  5. Step 5: Solve for x
    x = 581,438,656,701.56/510,124.50
  6. Step 6: Final answer
    x = 1,139,797.55

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