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Finding the Third Proportional to 267,638.25 and 414,904.13

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Solution

The third proportional to 267,638.25 and 414,904.13 is: 643,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,638.25 : 414,904.13 = 414,904.13 : x
  2. Step 2: Convert to fraction form
    267,638.25/414,904.13 = 414,904.13/x
  3. Step 3: Cross multiply
    267,638.25x = 414,904.13 × 414,904.13
  4. Step 4: Simplify right side
    267,638.25x = 172,145,432,942.02
  5. Step 5: Solve for x
    x = 172,145,432,942.02/267,638.25
  6. Step 6: Final answer
    x = 643,201.91

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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.