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Finding the Third Proportional to 259,650 and 389,475

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Solution

The third proportional to 259,650 and 389,475 is: 584,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,650 : 389,475 = 389,475 : x
  2. Step 2: Convert to fraction form
    259,650/389,475 = 389,475/x
  3. Step 3: Cross multiply
    259,650x = 389,475 × 389,475
  4. Step 4: Simplify right side
    259,650x = 151,690,775,625
  5. Step 5: Solve for x
    x = 151,690,775,625/259,650
  6. Step 6: Final answer
    x = 584,212.50

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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.