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Finding the Third Proportional to 269,230.88 and 587,358.75

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Solution

The third proportional to 269,230.88 and 587,358.75 is: 1,281,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,230.88 : 587,358.75 = 587,358.75 : x
  2. Step 2: Convert to fraction form
    269,230.88/587,358.75 = 587,358.75/x
  3. Step 3: Cross multiply
    269,230.88x = 587,358.75 × 587,358.75
  4. Step 4: Simplify right side
    269,230.88x = 344,990,301,201.56
  5. Step 5: Solve for x
    x = 344,990,301,201.56/269,230.88
  6. Step 6: Final answer
    x = 1,281,392.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.