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Finding the Third Proportional to 222,767.50 and 487,641.50

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Solution

The third proportional to 222,767.50 and 487,641.50 is: 1,067,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,767.50 : 487,641.50 = 487,641.50 : x
  2. Step 2: Convert to fraction form
    222,767.50/487,641.50 = 487,641.50/x
  3. Step 3: Cross multiply
    222,767.50x = 487,641.50 × 487,641.50
  4. Step 4: Simplify right side
    222,767.50x = 237,794,232,522.25
  5. Step 5: Solve for x
    x = 237,794,232,522.25/222,767.50
  6. Step 6: Final answer
    x = 1,067,454.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.