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Finding the Third Proportional to 207,384 and 454,942

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Solution

The third proportional to 207,384 and 454,942 is: 998,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,384 : 454,942 = 454,942 : x
  2. Step 2: Convert to fraction form
    207,384/454,942 = 454,942/x
  3. Step 3: Cross multiply
    207,384x = 454,942 × 454,942
  4. Step 4: Simplify right side
    207,384x = 206,972,223,364
  5. Step 5: Solve for x
    x = 206,972,223,364/207,384
  6. Step 6: Final answer
    x = 998,014.42

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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.