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Finding the Third Proportional to 267,093 and 413,013.75

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Solution

The third proportional to 267,093 and 413,013.75 is: 638,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,093 : 413,013.75 = 413,013.75 : x
  2. Step 2: Convert to fraction form
    267,093/413,013.75 = 413,013.75/x
  3. Step 3: Cross multiply
    267,093x = 413,013.75 × 413,013.75
  4. Step 4: Simplify right side
    267,093x = 170,580,357,689.06
  5. Step 5: Solve for x
    x = 170,580,357,689.06/267,093
  6. Step 6: Final answer
    x = 638,655.29

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Why These Related Problems?

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