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Finding the Third Proportional to 461,755 and 690,774

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Solution

The third proportional to 461,755 and 690,774 is: 1,033,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,755 : 690,774 = 690,774 : x
  2. Step 2: Convert to fraction form
    461,755/690,774 = 690,774/x
  3. Step 3: Cross multiply
    461,755x = 690,774 × 690,774
  4. Step 4: Simplify right side
    461,755x = 477,168,719,076
  5. Step 5: Solve for x
    x = 477,168,719,076/461,755
  6. Step 6: Final answer
    x = 1,033,380.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.