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Finding the Third Proportional to 386,563 and 544,366

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Solution

The third proportional to 386,563 and 544,366 is: 766,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,563 : 544,366 = 544,366 : x
  2. Step 2: Convert to fraction form
    386,563/544,366 = 544,366/x
  3. Step 3: Cross multiply
    386,563x = 544,366 × 544,366
  4. Step 4: Simplify right side
    386,563x = 296,334,341,956
  5. Step 5: Solve for x
    x = 296,334,341,956/386,563
  6. Step 6: Final answer
    x = 766,587.44

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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.