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Finding the Third Proportional to 466,760 and 699,996

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Solution

The third proportional to 466,760 and 699,996 is: 1,049,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,760 : 699,996 = 699,996 : x
  2. Step 2: Convert to fraction form
    466,760/699,996 = 699,996/x
  3. Step 3: Cross multiply
    466,760x = 699,996 × 699,996
  4. Step 4: Simplify right side
    466,760x = 489,994,400,016
  5. Step 5: Solve for x
    x = 489,994,400,016/466,760
  6. Step 6: Final answer
    x = 1,049,778.04

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