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Finding the Third Proportional to 207,648 and 451,746

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Solution

The third proportional to 207,648 and 451,746 is: 982,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,648 : 451,746 = 451,746 : x
  2. Step 2: Convert to fraction form
    207,648/451,746 = 451,746/x
  3. Step 3: Cross multiply
    207,648x = 451,746 × 451,746
  4. Step 4: Simplify right side
    207,648x = 204,074,448,516
  5. Step 5: Solve for x
    x = 204,074,448,516/207,648
  6. Step 6: Final answer
    x = 982,790.34

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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.