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Finding the Third Proportional to 207,824 and 447,432

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Solution

The third proportional to 207,824 and 447,432 is: 963,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824 : 447,432 = 447,432 : x
  2. Step 2: Convert to fraction form
    207,824/447,432 = 447,432/x
  3. Step 3: Cross multiply
    207,824x = 447,432 × 447,432
  4. Step 4: Simplify right side
    207,824x = 200,195,394,624
  5. Step 5: Solve for x
    x = 200,195,394,624/207,824
  6. Step 6: Final answer
    x = 963,292.95

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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.