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Finding the Third Proportional to 207,825 and 447,438

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Solution

The third proportional to 207,825 and 447,438 is: 963,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825 : 447,438 = 447,438 : x
  2. Step 2: Convert to fraction form
    207,825/447,438 = 447,438/x
  3. Step 3: Cross multiply
    207,825x = 447,438 × 447,438
  4. Step 4: Simplify right side
    207,825x = 200,200,763,844
  5. Step 5: Solve for x
    x = 200,200,763,844/207,825
  6. Step 6: Final answer
    x = 963,314.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.