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Finding the Third Proportional to 331,789.50 and 725,673

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Solution

The third proportional to 331,789.50 and 725,673 is: 1,587,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,789.50 : 725,673 = 725,673 : x
  2. Step 2: Convert to fraction form
    331,789.50/725,673 = 725,673/x
  3. Step 3: Cross multiply
    331,789.50x = 725,673 × 725,673
  4. Step 4: Simplify right side
    331,789.50x = 526,601,302,929
  5. Step 5: Solve for x
    x = 526,601,302,929/331,789.50
  6. Step 6: Final answer
    x = 1,587,154.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.