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Finding the Third Proportional to 311,538 and 680,733

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Solution

The third proportional to 311,538 and 680,733 is: 1,487,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,538 : 680,733 = 680,733 : x
  2. Step 2: Convert to fraction form
    311,538/680,733 = 680,733/x
  3. Step 3: Cross multiply
    311,538x = 680,733 × 680,733
  4. Step 4: Simplify right side
    311,538x = 463,397,417,289
  5. Step 5: Solve for x
    x = 463,397,417,289/311,538
  6. Step 6: Final answer
    x = 1,487,450.70

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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.