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Finding the Third Proportional to 207,630 and 451,710

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Solution

The third proportional to 207,630 and 451,710 is: 982,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,630 : 451,710 = 451,710 : x
  2. Step 2: Convert to fraction form
    207,630/451,710 = 451,710/x
  3. Step 3: Cross multiply
    207,630x = 451,710 × 451,710
  4. Step 4: Simplify right side
    207,630x = 204,041,924,100
  5. Step 5: Solve for x
    x = 204,041,924,100/207,630
  6. Step 6: Final answer
    x = 982,718.89

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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.