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Finding the Third Proportional to 257,844 and 386,892

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Solution

The third proportional to 257,844 and 386,892 is: 580,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,844 : 386,892 = 386,892 : x
  2. Step 2: Convert to fraction form
    257,844/386,892 = 386,892/x
  3. Step 3: Cross multiply
    257,844x = 386,892 × 386,892
  4. Step 4: Simplify right side
    257,844x = 149,685,419,664
  5. Step 5: Solve for x
    x = 149,685,419,664/257,844
  6. Step 6: Final answer
    x = 580,527.06

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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.