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Finding the Third Proportional to 300,294 and 659,649

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Solution

The third proportional to 300,294 and 659,649 is: 1,449,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,294 : 659,649 = 659,649 : x
  2. Step 2: Convert to fraction form
    300,294/659,649 = 659,649/x
  3. Step 3: Cross multiply
    300,294x = 659,649 × 659,649
  4. Step 4: Simplify right side
    300,294x = 435,136,803,201
  5. Step 5: Solve for x
    x = 435,136,803,201/300,294
  6. Step 6: Final answer
    x = 1,449,035.96

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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.