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Finding the Third Proportional to 267,924 and 572,697

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Solution

The third proportional to 267,924 and 572,697 is: 1,224,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,924 : 572,697 = 572,697 : x
  2. Step 2: Convert to fraction form
    267,924/572,697 = 572,697/x
  3. Step 3: Cross multiply
    267,924x = 572,697 × 572,697
  4. Step 4: Simplify right side
    267,924x = 327,981,853,809
  5. Step 5: Solve for x
    x = 327,981,853,809/267,924
  6. Step 6: Final answer
    x = 1,224,160.04

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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.