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Finding the Third Proportional to 224,415.75 and 486,979.88

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Solution

The third proportional to 224,415.75 and 486,979.88 is: 1,056,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,415.75 : 486,979.88 = 486,979.88 : x
  2. Step 2: Convert to fraction form
    224,415.75/486,979.88 = 486,979.88/x
  3. Step 3: Cross multiply
    224,415.75x = 486,979.88 × 486,979.88
  4. Step 4: Simplify right side
    224,415.75x = 237,149,398,655.02
  5. Step 5: Solve for x
    x = 237,149,398,655.02/224,415.75
  6. Step 6: Final answer
    x = 1,056,741.33

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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.