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Finding the Third Proportional to 207,416 and 452,374

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Solution

The third proportional to 207,416 and 452,374 is: 986,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,416 : 452,374 = 452,374 : x
  2. Step 2: Convert to fraction form
    207,416/452,374 = 452,374/x
  3. Step 3: Cross multiply
    207,416x = 452,374 × 452,374
  4. Step 4: Simplify right side
    207,416x = 204,642,235,876
  5. Step 5: Solve for x
    x = 204,642,235,876/207,416
  6. Step 6: Final answer
    x = 986,627.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.