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Finding the Third Proportional to 510,127 and 762,525

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Solution

The third proportional to 510,127 and 762,525 is: 1,139,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,127 : 762,525 = 762,525 : x
  2. Step 2: Convert to fraction form
    510,127/762,525 = 762,525/x
  3. Step 3: Cross multiply
    510,127x = 762,525 × 762,525
  4. Step 4: Simplify right side
    510,127x = 581,444,375,625
  5. Step 5: Solve for x
    x = 581,444,375,625/510,127
  6. Step 6: Final answer
    x = 1,139,803.18

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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.