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Finding the Third Proportional to 206,970 and 454,580

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Solution

The third proportional to 206,970 and 454,580 is: 998,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970 : 454,580 = 454,580 : x
  2. Step 2: Convert to fraction form
    206,970/454,580 = 454,580/x
  3. Step 3: Cross multiply
    206,970x = 454,580 × 454,580
  4. Step 4: Simplify right side
    206,970x = 206,642,976,400
  5. Step 5: Solve for x
    x = 206,642,976,400/206,970
  6. Step 6: Final answer
    x = 998,419.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.