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Finding the Third Proportional to 711,335.25 and 1,067,029.88

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Solution

The third proportional to 711,335.25 and 1,067,029.88 is: 1,600,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,335.25 : 1,067,029.88 = 1,067,029.88 : x
  2. Step 2: Convert to fraction form
    711,335.25/1,067,029.88 = 1,067,029.88/x
  3. Step 3: Cross multiply
    711,335.25x = 1,067,029.88 × 1,067,029.88
  4. Step 4: Simplify right side
    711,335.25x = 1,138,552,754,142.52
  5. Step 5: Solve for x
    x = 1,138,552,754,142.52/711,335.25
  6. Step 6: Final answer
    x = 1,600,585.31

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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.