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Finding the Third Proportional to 461,974.50 and 691,078.50

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Solution

The third proportional to 461,974.50 and 691,078.50 is: 1,033,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,974.50 : 691,078.50 = 691,078.50 : x
  2. Step 2: Convert to fraction form
    461,974.50/691,078.50 = 691,078.50/x
  3. Step 3: Cross multiply
    461,974.50x = 691,078.50 × 691,078.50
  4. Step 4: Simplify right side
    461,974.50x = 477,589,493,162.25
  5. Step 5: Solve for x
    x = 477,589,493,162.25/461,974.50
  6. Step 6: Final answer
    x = 1,033,800.55

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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.