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Finding the Third Proportional to 207,723 and 451,902

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Solution

The third proportional to 207,723 and 451,902 is: 983,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,723 : 451,902 = 451,902 : x
  2. Step 2: Convert to fraction form
    207,723/451,902 = 451,902/x
  3. Step 3: Cross multiply
    207,723x = 451,902 × 451,902
  4. Step 4: Simplify right side
    207,723x = 204,215,417,604
  5. Step 5: Solve for x
    x = 204,215,417,604/207,723
  6. Step 6: Final answer
    x = 983,114.14

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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.