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Finding the Third Proportional to 386,567 and 544,372

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Solution

The third proportional to 386,567 and 544,372 is: 766,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,567 : 544,372 = 544,372 : x
  2. Step 2: Convert to fraction form
    386,567/544,372 = 544,372/x
  3. Step 3: Cross multiply
    386,567x = 544,372 × 544,372
  4. Step 4: Simplify right side
    386,567x = 296,340,874,384
  5. Step 5: Solve for x
    x = 296,340,874,384/386,567
  6. Step 6: Final answer
    x = 766,596.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.