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Finding the Third Proportional to 228,855.38 and 498,394.50

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Solution

The third proportional to 228,855.38 and 498,394.50 is: 1,085,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,855.38 : 498,394.50 = 498,394.50 : x
  2. Step 2: Convert to fraction form
    228,855.38/498,394.50 = 498,394.50/x
  3. Step 3: Cross multiply
    228,855.38x = 498,394.50 × 498,394.50
  4. Step 4: Simplify right side
    228,855.38x = 248,397,077,630.25
  5. Step 5: Solve for x
    x = 248,397,077,630.25/228,855.38
  6. Step 6: Final answer
    x = 1,085,388.87

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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.