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Finding the Third Proportional to 207,706 and 451,861

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Solution

The third proportional to 207,706 and 451,861 is: 983,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,706 : 451,861 = 451,861 : x
  2. Step 2: Convert to fraction form
    207,706/451,861 = 451,861/x
  3. Step 3: Cross multiply
    207,706x = 451,861 × 451,861
  4. Step 4: Simplify right side
    207,706x = 204,178,363,321
  5. Step 5: Solve for x
    x = 204,178,363,321/207,706
  6. Step 6: Final answer
    x = 983,016.20

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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.