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Finding the Third Proportional to 465,750 and 655,695

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Solution

The third proportional to 465,750 and 655,695 is: 923,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,750 : 655,695 = 655,695 : x
  2. Step 2: Convert to fraction form
    465,750/655,695 = 655,695/x
  3. Step 3: Cross multiply
    465,750x = 655,695 × 655,695
  4. Step 4: Simplify right side
    465,750x = 429,935,933,025
  5. Step 5: Solve for x
    x = 429,935,933,025/465,750
  6. Step 6: Final answer
    x = 923,104.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.