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Finding the Third Proportional to 467,869.50 and 984,630

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Solution

The third proportional to 467,869.50 and 984,630 is: 2,072,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,869.50 : 984,630 = 984,630 : x
  2. Step 2: Convert to fraction form
    467,869.50/984,630 = 984,630/x
  3. Step 3: Cross multiply
    467,869.50x = 984,630 × 984,630
  4. Step 4: Simplify right side
    467,869.50x = 969,496,236,900
  5. Step 5: Solve for x
    x = 969,496,236,900/467,869.50
  6. Step 6: Final answer
    x = 2,072,150.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.