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Finding the Third Proportional to 723,082.50 and 1,380,555

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Solution

The third proportional to 723,082.50 and 1,380,555 is: 2,635,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,082.50 : 1,380,555 = 1,380,555 : x
  2. Step 2: Convert to fraction form
    723,082.50/1,380,555 = 1,380,555/x
  3. Step 3: Cross multiply
    723,082.50x = 1,380,555 × 1,380,555
  4. Step 4: Simplify right side
    723,082.50x = 1,905,932,108,025
  5. Step 5: Solve for x
    x = 1,905,932,108,025/723,082.50
  6. Step 6: Final answer
    x = 2,635,843.22

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.