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Finding the Third Proportional to 269,224 and 587,347

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Solution

The third proportional to 269,224 and 587,347 is: 1,281,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,224 : 587,347 = 587,347 : x
  2. Step 2: Convert to fraction form
    269,224/587,347 = 587,347/x
  3. Step 3: Cross multiply
    269,224x = 587,347 × 587,347
  4. Step 4: Simplify right side
    269,224x = 344,976,498,409
  5. Step 5: Solve for x
    x = 344,976,498,409/269,224
  6. Step 6: Final answer
    x = 1,281,373.50

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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.