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Finding the Third Proportional to 521,098.31 and 782,900.44

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Solution

The third proportional to 521,098.31 and 782,900.44 is: 1,176,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,098.31 : 782,900.44 = 782,900.44 : x
  2. Step 2: Convert to fraction form
    521,098.31/782,900.44 = 782,900.44/x
  3. Step 3: Cross multiply
    521,098.31x = 782,900.44 × 782,900.44
  4. Step 4: Simplify right side
    521,098.31x = 612,933,095,037.69
  5. Step 5: Solve for x
    x = 612,933,095,037.69/521,098.31
  6. Step 6: Final answer
    x = 1,176,233.12

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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.