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Finding the Third Proportional to 311,532 and 680,723

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Solution

The third proportional to 311,532 and 680,723 is: 1,487,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,532 : 680,723 = 680,723 : x
  2. Step 2: Convert to fraction form
    311,532/680,723 = 680,723/x
  3. Step 3: Cross multiply
    311,532x = 680,723 × 680,723
  4. Step 4: Simplify right side
    311,532x = 463,383,802,729
  5. Step 5: Solve for x
    x = 463,383,802,729/311,532
  6. Step 6: Final answer
    x = 1,487,435.65

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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.