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Finding the Third Proportional to 441,753.75 and 708,757.59

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Solution

The third proportional to 441,753.75 and 708,757.59 is: 1,137,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,753.75 : 708,757.59 = 708,757.59 : x
  2. Step 2: Convert to fraction form
    441,753.75/708,757.59 = 708,757.59/x
  3. Step 3: Cross multiply
    441,753.75x = 708,757.59 × 708,757.59
  4. Step 4: Simplify right side
    441,753.75x = 502,337,326,698.29
  5. Step 5: Solve for x
    x = 502,337,326,698.29/441,753.75
  6. Step 6: Final answer
    x = 1,137,143.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.