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Finding the Third Proportional to 267,120 and 564,048

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Solution

The third proportional to 267,120 and 564,048 is: 1,191,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,120 : 564,048 = 564,048 : x
  2. Step 2: Convert to fraction form
    267,120/564,048 = 564,048/x
  3. Step 3: Cross multiply
    267,120x = 564,048 × 564,048
  4. Step 4: Simplify right side
    267,120x = 318,150,146,304
  5. Step 5: Solve for x
    x = 318,150,146,304/267,120
  6. Step 6: Final answer
    x = 1,191,038.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.