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Finding the Third Proportional to 207,705 and 451,860

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Solution

The third proportional to 207,705 and 451,860 is: 983,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,705 : 451,860 = 451,860 : x
  2. Step 2: Convert to fraction form
    207,705/451,860 = 451,860/x
  3. Step 3: Cross multiply
    207,705x = 451,860 × 451,860
  4. Step 4: Simplify right side
    207,705x = 204,177,459,600
  5. Step 5: Solve for x
    x = 204,177,459,600/207,705
  6. Step 6: Final answer
    x = 983,016.58

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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.