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Finding the Third Proportional to 461,268 and 691,902

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Solution

The third proportional to 461,268 and 691,902 is: 1,037,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,268 : 691,902 = 691,902 : x
  2. Step 2: Convert to fraction form
    461,268/691,902 = 691,902/x
  3. Step 3: Cross multiply
    461,268x = 691,902 × 691,902
  4. Step 4: Simplify right side
    461,268x = 478,728,377,604
  5. Step 5: Solve for x
    x = 478,728,377,604/461,268
  6. Step 6: Final answer
    x = 1,037,853

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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.