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Finding the Third Proportional to 259,734.50 and 414,933

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Solution

The third proportional to 259,734.50 and 414,933 is: 662,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,734.50 : 414,933 = 414,933 : x
  2. Step 2: Convert to fraction form
    259,734.50/414,933 = 414,933/x
  3. Step 3: Cross multiply
    259,734.50x = 414,933 × 414,933
  4. Step 4: Simplify right side
    259,734.50x = 172,169,394,489
  5. Step 5: Solve for x
    x = 172,169,394,489/259,734.50
  6. Step 6: Final answer
    x = 662,866.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.