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Finding the Third Proportional to 267,013.13 and 413,304.38

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Solution

The third proportional to 267,013.13 and 413,304.38 is: 639,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,013.13 : 413,304.38 = 413,304.38 : x
  2. Step 2: Convert to fraction form
    267,013.13/413,304.38 = 413,304.38/x
  3. Step 3: Cross multiply
    267,013.13x = 413,304.38 × 413,304.38
  4. Step 4: Simplify right side
    267,013.13x = 170,820,506,394.14
  5. Step 5: Solve for x
    x = 170,820,506,394.14/267,013.13
  6. Step 6: Final answer
    x = 639,745.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.