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Finding the Third Proportional to 267,712.13 and 414,528.19

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Solution

The third proportional to 267,712.13 and 414,528.19 is: 641,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,712.13 : 414,528.19 = 414,528.19 : x
  2. Step 2: Convert to fraction form
    267,712.13/414,528.19 = 414,528.19/x
  3. Step 3: Cross multiply
    267,712.13x = 414,528.19 × 414,528.19
  4. Step 4: Simplify right side
    267,712.13x = 171,833,618,232.04
  5. Step 5: Solve for x
    x = 171,833,618,232.04/267,712.13
  6. Step 6: Final answer
    x = 641,859.68

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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.