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Finding the Third Proportional to 269,223.75 and 587,344.50

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Solution

The third proportional to 269,223.75 and 587,344.50 is: 1,281,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,223.75 : 587,344.50 = 587,344.50 : x
  2. Step 2: Convert to fraction form
    269,223.75/587,344.50 = 587,344.50/x
  3. Step 3: Cross multiply
    269,223.75x = 587,344.50 × 587,344.50
  4. Step 4: Simplify right side
    269,223.75x = 344,973,561,680.25
  5. Step 5: Solve for x
    x = 344,973,561,680.25/269,223.75
  6. Step 6: Final answer
    x = 1,281,363.78

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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.