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Finding the Third Proportional to 207,684 and 454,674

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Solution

The third proportional to 207,684 and 454,674 is: 995,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,684 : 454,674 = 454,674 : x
  2. Step 2: Convert to fraction form
    207,684/454,674 = 454,674/x
  3. Step 3: Cross multiply
    207,684x = 454,674 × 454,674
  4. Step 4: Simplify right side
    207,684x = 206,728,446,276
  5. Step 5: Solve for x
    x = 206,728,446,276/207,684
  6. Step 6: Final answer
    x = 995,399.00

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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.