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Finding the Third Proportional to 207,780 and 454,974

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Solution

The third proportional to 207,780 and 454,974 is: 996,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,780 : 454,974 = 454,974 : x
  2. Step 2: Convert to fraction form
    207,780/454,974 = 454,974/x
  3. Step 3: Cross multiply
    207,780x = 454,974 × 454,974
  4. Step 4: Simplify right side
    207,780x = 207,001,340,676
  5. Step 5: Solve for x
    x = 207,001,340,676/207,780
  6. Step 6: Final answer
    x = 996,252.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.