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Finding the Third Proportional to 769,059 and 1,147,216.50

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Solution

The third proportional to 769,059 and 1,147,216.50 is: 1,711,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,059 : 1,147,216.50 = 1,147,216.50 : x
  2. Step 2: Convert to fraction form
    769,059/1,147,216.50 = 1,147,216.50/x
  3. Step 3: Cross multiply
    769,059x = 1,147,216.50 × 1,147,216.50
  4. Step 4: Simplify right side
    769,059x = 1,316,105,697,872.25
  5. Step 5: Solve for x
    x = 1,316,105,697,872.25/769,059
  6. Step 6: Final answer
    x = 1,711,319.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.