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Finding the Third Proportional to 207,795 and 454,470

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Solution

The third proportional to 207,795 and 454,470 is: 993,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,795 : 454,470 = 454,470 : x
  2. Step 2: Convert to fraction form
    207,795/454,470 = 454,470/x
  3. Step 3: Cross multiply
    207,795x = 454,470 × 454,470
  4. Step 4: Simplify right side
    207,795x = 206,542,980,900
  5. Step 5: Solve for x
    x = 206,542,980,900/207,795
  6. Step 6: Final answer
    x = 993,974.74

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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.