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Finding the Third Proportional to 259,806 and 389,745

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Solution

The third proportional to 259,806 and 389,745 is: 584,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,806 : 389,745 = 389,745 : x
  2. Step 2: Convert to fraction form
    259,806/389,745 = 389,745/x
  3. Step 3: Cross multiply
    259,806x = 389,745 × 389,745
  4. Step 4: Simplify right side
    259,806x = 151,901,165,025
  5. Step 5: Solve for x
    x = 151,901,165,025/259,806
  6. Step 6: Final answer
    x = 584,671.50

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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.