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Finding the Third Proportional to 454,304 and 988,150

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Solution

The third proportional to 454,304 and 988,150 is: 2,149,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,304 : 988,150 = 988,150 : x
  2. Step 2: Convert to fraction form
    454,304/988,150 = 988,150/x
  3. Step 3: Cross multiply
    454,304x = 988,150 × 988,150
  4. Step 4: Simplify right side
    454,304x = 976,440,422,500
  5. Step 5: Solve for x
    x = 976,440,422,500/454,304
  6. Step 6: Final answer
    x = 2,149,310.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.