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Finding the Third Proportional to 461,752.88 and 690,771.38

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Solution

The third proportional to 461,752.88 and 690,771.38 is: 1,033,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,752.88 : 690,771.38 = 690,771.38 : x
  2. Step 2: Convert to fraction form
    461,752.88/690,771.38 = 690,771.38/x
  3. Step 3: Cross multiply
    461,752.88x = 690,771.38 × 690,771.38
  4. Step 4: Simplify right side
    461,752.88x = 477,165,092,519.39
  5. Step 5: Solve for x
    x = 477,165,092,519.39/461,752.88
  6. Step 6: Final answer
    x = 1,033,377.63

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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.