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Finding the Third Proportional to 331,227.98 and 725,541.52

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Solution

The third proportional to 331,227.98 and 725,541.52 is: 1,589,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,227.98 : 725,541.52 = 725,541.52 : x
  2. Step 2: Convert to fraction form
    331,227.98/725,541.52 = 725,541.52/x
  3. Step 3: Cross multiply
    331,227.98x = 725,541.52 × 725,541.52
  4. Step 4: Simplify right side
    331,227.98x = 526,410,499,397.87
  5. Step 5: Solve for x
    x = 526,410,499,397.87/331,227.98
  6. Step 6: Final answer
    x = 1,589,269.40

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Why These Related Problems?

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