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Finding the Third Proportional to 461,108 and 691,663

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Solution

The third proportional to 461,108 and 691,663 is: 1,037,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,108 : 691,663 = 691,663 : x
  2. Step 2: Convert to fraction form
    461,108/691,663 = 691,663/x
  3. Step 3: Cross multiply
    461,108x = 691,663 × 691,663
  4. Step 4: Simplify right side
    461,108x = 478,397,705,569
  5. Step 5: Solve for x
    x = 478,397,705,569/461,108
  6. Step 6: Final answer
    x = 1,037,496.00

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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.