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Finding the Third Proportional to 466,756 and 699,990

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Solution

The third proportional to 466,756 and 699,990 is: 1,049,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,756 : 699,990 = 699,990 : x
  2. Step 2: Convert to fraction form
    466,756/699,990 = 699,990/x
  3. Step 3: Cross multiply
    466,756x = 699,990 × 699,990
  4. Step 4: Simplify right side
    466,756x = 489,986,000,100
  5. Step 5: Solve for x
    x = 489,986,000,100/466,756
  6. Step 6: Final answer
    x = 1,049,769.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.