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Finding the Third Proportional to 461,959.25 and 691,055.50

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Solution

The third proportional to 461,959.25 and 691,055.50 is: 1,033,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,959.25 : 691,055.50 = 691,055.50 : x
  2. Step 2: Convert to fraction form
    461,959.25/691,055.50 = 691,055.50/x
  3. Step 3: Cross multiply
    461,959.25x = 691,055.50 × 691,055.50
  4. Step 4: Simplify right side
    461,959.25x = 477,557,704,080.25
  5. Step 5: Solve for x
    x = 477,557,704,080.25/461,959.25
  6. Step 6: Final answer
    x = 1,033,765.87

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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.