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Finding the Third Proportional to 267,972.47 and 574,798.78

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Solution

The third proportional to 267,972.47 and 574,798.78 is: 1,232,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,972.47 : 574,798.78 = 574,798.78 : x
  2. Step 2: Convert to fraction form
    267,972.47/574,798.78 = 574,798.78/x
  3. Step 3: Cross multiply
    267,972.47x = 574,798.78 × 574,798.78
  4. Step 4: Simplify right side
    267,972.47x = 330,393,638,926.49
  5. Step 5: Solve for x
    x = 330,393,638,926.49/267,972.47
  6. Step 6: Final answer
    x = 1,232,938.74

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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.