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Finding the Third Proportional to 457,695.25 and 996,758

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Solution

The third proportional to 457,695.25 and 996,758 is: 2,170,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695.25 : 996,758 = 996,758 : x
  2. Step 2: Convert to fraction form
    457,695.25/996,758 = 996,758/x
  3. Step 3: Cross multiply
    457,695.25x = 996,758 × 996,758
  4. Step 4: Simplify right side
    457,695.25x = 993,526,510,564
  5. Step 5: Solve for x
    x = 993,526,510,564/457,695.25
  6. Step 6: Final answer
    x = 2,170,716.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.