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Finding the Third Proportional to 267,455 and 587,394

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Solution

The third proportional to 267,455 and 587,394 is: 1,290,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,455 : 587,394 = 587,394 : x
  2. Step 2: Convert to fraction form
    267,455/587,394 = 587,394/x
  3. Step 3: Cross multiply
    267,455x = 587,394 × 587,394
  4. Step 4: Simplify right side
    267,455x = 345,031,711,236
  5. Step 5: Solve for x
    x = 345,031,711,236/267,455
  6. Step 6: Final answer
    x = 1,290,055.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.