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Finding the Third Proportional to 532,639.50 and 749,193

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Solution

The third proportional to 532,639.50 and 749,193 is: 1,053,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,639.50 : 749,193 = 749,193 : x
  2. Step 2: Convert to fraction form
    532,639.50/749,193 = 749,193/x
  3. Step 3: Cross multiply
    532,639.50x = 749,193 × 749,193
  4. Step 4: Simplify right side
    532,639.50x = 561,290,151,249
  5. Step 5: Solve for x
    x = 561,290,151,249/532,639.50
  6. Step 6: Final answer
    x = 1,053,789.95

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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.