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Finding the Third Proportional to 271,932.19 and 587,103.19

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Solution

The third proportional to 271,932.19 and 587,103.19 is: 1,267,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932.19 : 587,103.19 = 587,103.19 : x
  2. Step 2: Convert to fraction form
    271,932.19/587,103.19 = 587,103.19/x
  3. Step 3: Cross multiply
    271,932.19x = 587,103.19 × 587,103.19
  4. Step 4: Simplify right side
    271,932.19x = 344,690,152,772.66
  5. Step 5: Solve for x
    x = 344,690,152,772.66/271,932.19
  6. Step 6: Final answer
    x = 1,267,559.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.