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Finding the Third Proportional to 267,921.75 and 572,691

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Solution

The third proportional to 267,921.75 and 572,691 is: 1,224,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,921.75 : 572,691 = 572,691 : x
  2. Step 2: Convert to fraction form
    267,921.75/572,691 = 572,691/x
  3. Step 3: Cross multiply
    267,921.75x = 572,691 × 572,691
  4. Step 4: Simplify right side
    267,921.75x = 327,974,981,481
  5. Step 5: Solve for x
    x = 327,974,981,481/267,921.75
  6. Step 6: Final answer
    x = 1,224,144.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.