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Finding the Third Proportional to 207,394 and 454,962

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Solution

The third proportional to 207,394 and 454,962 is: 998,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,394 : 454,962 = 454,962 : x
  2. Step 2: Convert to fraction form
    207,394/454,962 = 454,962/x
  3. Step 3: Cross multiply
    207,394x = 454,962 × 454,962
  4. Step 4: Simplify right side
    207,394x = 206,990,421,444
  5. Step 5: Solve for x
    x = 206,990,421,444/207,394
  6. Step 6: Final answer
    x = 998,054.05

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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.