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Finding the Third Proportional to 267,233 and 556,580

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Solution

The third proportional to 267,233 and 556,580 is: 1,159,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,233 : 556,580 = 556,580 : x
  2. Step 2: Convert to fraction form
    267,233/556,580 = 556,580/x
  3. Step 3: Cross multiply
    267,233x = 556,580 × 556,580
  4. Step 4: Simplify right side
    267,233x = 309,781,296,400
  5. Step 5: Solve for x
    x = 309,781,296,400/267,233
  6. Step 6: Final answer
    x = 1,159,217.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.