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Finding the Third Proportional to 210,414.38 and 454,043.81

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Solution

The third proportional to 210,414.38 and 454,043.81 is: 979,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.38 : 454,043.81 = 454,043.81 : x
  2. Step 2: Convert to fraction form
    210,414.38/454,043.81 = 454,043.81/x
  3. Step 3: Cross multiply
    210,414.38x = 454,043.81 × 454,043.81
  4. Step 4: Simplify right side
    210,414.38x = 206,155,783,669.54
  5. Step 5: Solve for x
    x = 206,155,783,669.54/210,414.38
  6. Step 6: Final answer
    x = 979,760.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.