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Finding the Third Proportional to 541,011.66 and 844,271.23

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Solution

The third proportional to 541,011.66 and 844,271.23 is: 1,317,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,011.66 : 844,271.23 = 844,271.23 : x
  2. Step 2: Convert to fraction form
    541,011.66/844,271.23 = 844,271.23/x
  3. Step 3: Cross multiply
    541,011.66x = 844,271.23 × 844,271.23
  4. Step 4: Simplify right side
    541,011.66x = 712,793,904,001.35
  5. Step 5: Solve for x
    x = 712,793,904,001.35/541,011.66
  6. Step 6: Final answer
    x = 1,317,520.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.