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Finding the Third Proportional to 228,016 and 498,944

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Solution

The third proportional to 228,016 and 498,944 is: 1,091,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,016 : 498,944 = 498,944 : x
  2. Step 2: Convert to fraction form
    228,016/498,944 = 498,944/x
  3. Step 3: Cross multiply
    228,016x = 498,944 × 498,944
  4. Step 4: Simplify right side
    228,016x = 248,945,115,136
  5. Step 5: Solve for x
    x = 248,945,115,136/228,016
  6. Step 6: Final answer
    x = 1,091,787.92

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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.