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Finding the Third Proportional to 769,444.50 and 1,320,237.75

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Solution

The third proportional to 769,444.50 and 1,320,237.75 is: 2,265,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,444.50 : 1,320,237.75 = 1,320,237.75 : x
  2. Step 2: Convert to fraction form
    769,444.50/1,320,237.75 = 1,320,237.75/x
  3. Step 3: Cross multiply
    769,444.50x = 1,320,237.75 × 1,320,237.75
  4. Step 4: Simplify right side
    769,444.50x = 1,743,027,716,525.06
  5. Step 5: Solve for x
    x = 1,743,027,716,525.06/769,444.50
  6. Step 6: Final answer
    x = 2,265,306.62

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.