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Finding the Third Proportional to 461,959 and 691,055

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Solution

The third proportional to 461,959 and 691,055 is: 1,033,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,959 : 691,055 = 691,055 : x
  2. Step 2: Convert to fraction form
    461,959/691,055 = 691,055/x
  3. Step 3: Cross multiply
    461,959x = 691,055 × 691,055
  4. Step 4: Simplify right side
    461,959x = 477,557,013,025
  5. Step 5: Solve for x
    x = 477,557,013,025/461,959
  6. Step 6: Final answer
    x = 1,033,764.93

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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.