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Finding the Third Proportional to 207,651 and 454,614

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Solution

The third proportional to 207,651 and 454,614 is: 995,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,651 : 454,614 = 454,614 : x
  2. Step 2: Convert to fraction form
    207,651/454,614 = 454,614/x
  3. Step 3: Cross multiply
    207,651x = 454,614 × 454,614
  4. Step 4: Simplify right side
    207,651x = 206,673,888,996
  5. Step 5: Solve for x
    x = 206,673,888,996/207,651
  6. Step 6: Final answer
    x = 995,294.46

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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.