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Finding the Third Proportional to 311,724 and 676,584

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Solution

The third proportional to 311,724 and 676,584 is: 1,468,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,724 : 676,584 = 676,584 : x
  2. Step 2: Convert to fraction form
    311,724/676,584 = 676,584/x
  3. Step 3: Cross multiply
    311,724x = 676,584 × 676,584
  4. Step 4: Simplify right side
    311,724x = 457,765,909,056
  5. Step 5: Solve for x
    x = 457,765,909,056/311,724
  6. Step 6: Final answer
    x = 1,468,497.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.