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Finding the Third Proportional to 386,568 and 544,374

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Solution

The third proportional to 386,568 and 544,374 is: 766,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,568 : 544,374 = 544,374 : x
  2. Step 2: Convert to fraction form
    386,568/544,374 = 544,374/x
  3. Step 3: Cross multiply
    386,568x = 544,374 × 544,374
  4. Step 4: Simplify right side
    386,568x = 296,343,051,876
  5. Step 5: Solve for x
    x = 296,343,051,876/386,568
  6. Step 6: Final answer
    x = 766,600.06

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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.