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Finding the Third Proportional to 461,264 and 691,896

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Solution

The third proportional to 461,264 and 691,896 is: 1,037,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,264 : 691,896 = 691,896 : x
  2. Step 2: Convert to fraction form
    461,264/691,896 = 691,896/x
  3. Step 3: Cross multiply
    461,264x = 691,896 × 691,896
  4. Step 4: Simplify right side
    461,264x = 478,720,074,816
  5. Step 5: Solve for x
    x = 478,720,074,816/461,264
  6. Step 6: Final answer
    x = 1,037,844

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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.