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Finding the Third Proportional to 207,486 and 454,041

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Solution

The third proportional to 207,486 and 454,041 is: 993,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,486 : 454,041 = 454,041 : x
  2. Step 2: Convert to fraction form
    207,486/454,041 = 454,041/x
  3. Step 3: Cross multiply
    207,486x = 454,041 × 454,041
  4. Step 4: Simplify right side
    207,486x = 206,153,229,681
  5. Step 5: Solve for x
    x = 206,153,229,681/207,486
  6. Step 6: Final answer
    x = 993,576.58

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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.