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Finding the Third Proportional to 227,767.78 and 498,433.92

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Solution

The third proportional to 227,767.78 and 498,433.92 is: 1,090,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,767.78 : 498,433.92 = 498,433.92 : x
  2. Step 2: Convert to fraction form
    227,767.78/498,433.92 = 498,433.92/x
  3. Step 3: Cross multiply
    227,767.78x = 498,433.92 × 498,433.92
  4. Step 4: Simplify right side
    227,767.78x = 248,436,374,475.69
  5. Step 5: Solve for x
    x = 248,436,374,475.69/227,767.78
  6. Step 6: Final answer
    x = 1,090,744.15

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Why These Related Problems?

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