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Finding the Third Proportional to 667,517.63 and 1,032,959.25

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Solution

The third proportional to 667,517.63 and 1,032,959.25 is: 1,598,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,517.63 : 1,032,959.25 = 1,032,959.25 : x
  2. Step 2: Convert to fraction form
    667,517.63/1,032,959.25 = 1,032,959.25/x
  3. Step 3: Cross multiply
    667,517.63x = 1,032,959.25 × 1,032,959.25
  4. Step 4: Simplify right side
    667,517.63x = 1,067,004,812,160.56
  5. Step 5: Solve for x
    x = 1,067,004,812,160.56/667,517.63
  6. Step 6: Final answer
    x = 1,598,466.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.