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Finding the Third Proportional to 427,315.50 and 998,304.75

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Solution

The third proportional to 427,315.50 and 998,304.75 is: 2,332,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,315.50 : 998,304.75 = 998,304.75 : x
  2. Step 2: Convert to fraction form
    427,315.50/998,304.75 = 998,304.75/x
  3. Step 3: Cross multiply
    427,315.50x = 998,304.75 × 998,304.75
  4. Step 4: Simplify right side
    427,315.50x = 996,612,373,872.56
  5. Step 5: Solve for x
    x = 996,612,373,872.56/427,315.50
  6. Step 6: Final answer
    x = 2,332,263.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.