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Finding the Third Proportional to 311,404 and 680,972

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Solution

The third proportional to 311,404 and 680,972 is: 1,489,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,404 : 680,972 = 680,972 : x
  2. Step 2: Convert to fraction form
    311,404/680,972 = 680,972/x
  3. Step 3: Cross multiply
    311,404x = 680,972 × 680,972
  4. Step 4: Simplify right side
    311,404x = 463,722,864,784
  5. Step 5: Solve for x
    x = 463,722,864,784/311,404
  6. Step 6: Final answer
    x = 1,489,135.86

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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.