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Finding the Third Proportional to 536,940.75 and 752,619

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Solution

The third proportional to 536,940.75 and 752,619 is: 1,054,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,940.75 : 752,619 = 752,619 : x
  2. Step 2: Convert to fraction form
    536,940.75/752,619 = 752,619/x
  3. Step 3: Cross multiply
    536,940.75x = 752,619 × 752,619
  4. Step 4: Simplify right side
    536,940.75x = 566,435,359,161
  5. Step 5: Solve for x
    x = 566,435,359,161/536,940.75
  6. Step 6: Final answer
    x = 1,054,930.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.