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Finding the Third Proportional to 457,696.13 and 996,760.13

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Solution

The third proportional to 457,696.13 and 996,760.13 is: 2,170,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,696.13 : 996,760.13 = 996,760.13 : x
  2. Step 2: Convert to fraction form
    457,696.13/996,760.13 = 996,760.13/x
  3. Step 3: Cross multiply
    457,696.13x = 996,760.13 × 996,760.13
  4. Step 4: Simplify right side
    457,696.13x = 993,530,746,790.02
  5. Step 5: Solve for x
    x = 993,530,746,790.02/457,696.13
  6. Step 6: Final answer
    x = 2,170,721.34

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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.