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Finding the Third Proportional to 207,648 and 454,608

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Solution

The third proportional to 207,648 and 454,608 is: 995,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,648 : 454,608 = 454,608 : x
  2. Step 2: Convert to fraction form
    207,648/454,608 = 454,608/x
  3. Step 3: Cross multiply
    207,648x = 454,608 × 454,608
  4. Step 4: Simplify right side
    207,648x = 206,668,433,664
  5. Step 5: Solve for x
    x = 206,668,433,664/207,648
  6. Step 6: Final answer
    x = 995,282.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.