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Finding the Third Proportional to 386,571 and 544,377

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Solution

The third proportional to 386,571 and 544,377 is: 766,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,571 : 544,377 = 544,377 : x
  2. Step 2: Convert to fraction form
    386,571/544,377 = 544,377/x
  3. Step 3: Cross multiply
    386,571x = 544,377 × 544,377
  4. Step 4: Simplify right side
    386,571x = 296,346,318,129
  5. Step 5: Solve for x
    x = 296,346,318,129/386,571
  6. Step 6: Final answer
    x = 766,602.56

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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.