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Finding the Third Proportional to 291,269 and 452,450

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Solution

The third proportional to 291,269 and 452,450 is: 702,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,269 : 452,450 = 452,450 : x
  2. Step 2: Convert to fraction form
    291,269/452,450 = 452,450/x
  3. Step 3: Cross multiply
    291,269x = 452,450 × 452,450
  4. Step 4: Simplify right side
    291,269x = 204,711,002,500
  5. Step 5: Solve for x
    x = 204,711,002,500/291,269
  6. Step 6: Final answer
    x = 702,824.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.