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Finding the Third Proportional to 466,350.75 and 967,761

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Solution

The third proportional to 466,350.75 and 967,761 is: 2,008,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,350.75 : 967,761 = 967,761 : x
  2. Step 2: Convert to fraction form
    466,350.75/967,761 = 967,761/x
  3. Step 3: Cross multiply
    466,350.75x = 967,761 × 967,761
  4. Step 4: Simplify right side
    466,350.75x = 936,561,353,121
  5. Step 5: Solve for x
    x = 936,561,353,121/466,350.75
  6. Step 6: Final answer
    x = 2,008,276.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.