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Finding the Third Proportional to 544,216 and 816,872

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Solution

The third proportional to 544,216 and 816,872 is: 1,226,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,216 : 816,872 = 816,872 : x
  2. Step 2: Convert to fraction form
    544,216/816,872 = 816,872/x
  3. Step 3: Cross multiply
    544,216x = 816,872 × 816,872
  4. Step 4: Simplify right side
    544,216x = 667,279,864,384
  5. Step 5: Solve for x
    x = 667,279,864,384/544,216
  6. Step 6: Final answer
    x = 1,226,130.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.