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Finding the Third Proportional to 267,969 and 574,791

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Solution

The third proportional to 267,969 and 574,791 is: 1,232,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,969 : 574,791 = 574,791 : x
  2. Step 2: Convert to fraction form
    267,969/574,791 = 574,791/x
  3. Step 3: Cross multiply
    267,969x = 574,791 × 574,791
  4. Step 4: Simplify right side
    267,969x = 330,384,693,681
  5. Step 5: Solve for x
    x = 330,384,693,681/267,969
  6. Step 6: Final answer
    x = 1,232,921.32

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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.