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Finding the Third Proportional to 224,578.75 and 486,542.38

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Solution

The third proportional to 224,578.75 and 486,542.38 is: 1,054,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,578.75 : 486,542.38 = 486,542.38 : x
  2. Step 2: Convert to fraction form
    224,578.75/486,542.38 = 486,542.38/x
  3. Step 3: Cross multiply
    224,578.75x = 486,542.38 × 486,542.38
  4. Step 4: Simplify right side
    224,578.75x = 236,723,482,670.64
  5. Step 5: Solve for x
    x = 236,723,482,670.64/224,578.75
  6. Step 6: Final answer
    x = 1,054,077.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.