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Finding the Third Proportional to 461,988 and 691,095

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Solution

The third proportional to 461,988 and 691,095 is: 1,033,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,988 : 691,095 = 691,095 : x
  2. Step 2: Convert to fraction form
    461,988/691,095 = 691,095/x
  3. Step 3: Cross multiply
    461,988x = 691,095 × 691,095
  4. Step 4: Simplify right side
    461,988x = 477,612,299,025
  5. Step 5: Solve for x
    x = 477,612,299,025/461,988
  6. Step 6: Final answer
    x = 1,033,819.71

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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.