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Finding the Third Proportional to 752,950.25 and 1,147,069.50

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Solution

The third proportional to 752,950.25 and 1,147,069.50 is: 1,747,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,950.25 : 1,147,069.50 = 1,147,069.50 : x
  2. Step 2: Convert to fraction form
    752,950.25/1,147,069.50 = 1,147,069.50/x
  3. Step 3: Cross multiply
    752,950.25x = 1,147,069.50 × 1,147,069.50
  4. Step 4: Simplify right side
    752,950.25x = 1,315,768,437,830.25
  5. Step 5: Solve for x
    x = 1,315,768,437,830.25/752,950.25
  6. Step 6: Final answer
    x = 1,747,483.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.