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Finding the Third Proportional to 509,226.75 and 769,027.50

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Solution

The third proportional to 509,226.75 and 769,027.50 is: 1,161,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,226.75 : 769,027.50 = 769,027.50 : x
  2. Step 2: Convert to fraction form
    509,226.75/769,027.50 = 769,027.50/x
  3. Step 3: Cross multiply
    509,226.75x = 769,027.50 × 769,027.50
  4. Step 4: Simplify right side
    509,226.75x = 591,403,295,756.25
  5. Step 5: Solve for x
    x = 591,403,295,756.25/509,226.75
  6. Step 6: Final answer
    x = 1,161,375.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.