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Finding the Third Proportional to 267,034 and 571,976

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Solution

The third proportional to 267,034 and 571,976 is: 1,225,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,034 : 571,976 = 571,976 : x
  2. Step 2: Convert to fraction form
    267,034/571,976 = 571,976/x
  3. Step 3: Cross multiply
    267,034x = 571,976 × 571,976
  4. Step 4: Simplify right side
    267,034x = 327,156,544,576
  5. Step 5: Solve for x
    x = 327,156,544,576/267,034
  6. Step 6: Final answer
    x = 1,225,149.40

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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.