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Finding the Third Proportional to 457,695.75 and 996,758.75

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Solution

The third proportional to 457,695.75 and 996,758.75 is: 2,170,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695.75 : 996,758.75 = 996,758.75 : x
  2. Step 2: Convert to fraction form
    457,695.75/996,758.75 = 996,758.75/x
  3. Step 3: Cross multiply
    457,695.75x = 996,758.75 × 996,758.75
  4. Step 4: Simplify right side
    457,695.75x = 993,528,005,701.56
  5. Step 5: Solve for x
    x = 993,528,005,701.56/457,695.75
  6. Step 6: Final answer
    x = 2,170,717.13

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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.