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Finding the Third Proportional to 734,651.25 and 1,135,223.25

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Solution

The third proportional to 734,651.25 and 1,135,223.25 is: 1,754,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,651.25 : 1,135,223.25 = 1,135,223.25 : x
  2. Step 2: Convert to fraction form
    734,651.25/1,135,223.25 = 1,135,223.25/x
  3. Step 3: Cross multiply
    734,651.25x = 1,135,223.25 × 1,135,223.25
  4. Step 4: Simplify right side
    734,651.25x = 1,288,731,827,340.56
  5. Step 5: Solve for x
    x = 1,288,731,827,340.56/734,651.25
  6. Step 6: Final answer
    x = 1,754,208.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.