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Finding the Third Proportional to 311,536 and 680,732

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Solution

The third proportional to 311,536 and 680,732 is: 1,487,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,536 : 680,732 = 680,732 : x
  2. Step 2: Convert to fraction form
    311,536/680,732 = 680,732/x
  3. Step 3: Cross multiply
    311,536x = 680,732 × 680,732
  4. Step 4: Simplify right side
    311,536x = 463,396,055,824
  5. Step 5: Solve for x
    x = 463,396,055,824/311,536
  6. Step 6: Final answer
    x = 1,487,455.88

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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.