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Finding the Third Proportional to 299,650 and 659,564

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Solution

The third proportional to 299,650 and 659,564 is: 1,451,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,650 : 659,564 = 659,564 : x
  2. Step 2: Convert to fraction form
    299,650/659,564 = 659,564/x
  3. Step 3: Cross multiply
    299,650x = 659,564 × 659,564
  4. Step 4: Simplify right side
    299,650x = 435,024,670,096
  5. Step 5: Solve for x
    x = 435,024,670,096/299,650
  6. Step 6: Final answer
    x = 1,451,775.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.