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Finding the Third Proportional to 228,954.38 and 498,585.38

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Solution

The third proportional to 228,954.38 and 498,585.38 is: 1,085,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,954.38 : 498,585.38 = 498,585.38 : x
  2. Step 2: Convert to fraction form
    228,954.38/498,585.38 = 498,585.38/x
  3. Step 3: Cross multiply
    228,954.38x = 498,585.38 × 498,585.38
  4. Step 4: Simplify right side
    228,954.38x = 248,587,376,163.89
  5. Step 5: Solve for x
    x = 248,587,376,163.89/228,954.38
  6. Step 6: Final answer
    x = 1,085,750.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.