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Finding the Third Proportional to 227,403 and 492,648.75

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Solution

The third proportional to 227,403 and 492,648.75 is: 1,067,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,403 : 492,648.75 = 492,648.75 : x
  2. Step 2: Convert to fraction form
    227,403/492,648.75 = 492,648.75/x
  3. Step 3: Cross multiply
    227,403x = 492,648.75 × 492,648.75
  4. Step 4: Simplify right side
    227,403x = 242,702,790,876.56
  5. Step 5: Solve for x
    x = 242,702,790,876.56/227,403
  6. Step 6: Final answer
    x = 1,067,280.51

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Why These Related Problems?

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