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Finding the Third Proportional to 267,678 and 392,580

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Solution

The third proportional to 267,678 and 392,580 is: 575,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,678 : 392,580 = 392,580 : x
  2. Step 2: Convert to fraction form
    267,678/392,580 = 392,580/x
  3. Step 3: Cross multiply
    267,678x = 392,580 × 392,580
  4. Step 4: Simplify right side
    267,678x = 154,119,056,400
  5. Step 5: Solve for x
    x = 154,119,056,400/267,678
  6. Step 6: Final answer
    x = 575,762.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.