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Finding the Third Proportional to 461,100 and 691,650

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Solution

The third proportional to 461,100 and 691,650 is: 1,037,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,100 : 691,650 = 691,650 : x
  2. Step 2: Convert to fraction form
    461,100/691,650 = 691,650/x
  3. Step 3: Cross multiply
    461,100x = 691,650 × 691,650
  4. Step 4: Simplify right side
    461,100x = 478,379,722,500
  5. Step 5: Solve for x
    x = 478,379,722,500/461,100
  6. Step 6: Final answer
    x = 1,037,475

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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.