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Finding the Third Proportional to 230,016 and 502,944

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Solution

The third proportional to 230,016 and 502,944 is: 1,099,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,016 : 502,944 = 502,944 : x
  2. Step 2: Convert to fraction form
    230,016/502,944 = 502,944/x
  3. Step 3: Cross multiply
    230,016x = 502,944 × 502,944
  4. Step 4: Simplify right side
    230,016x = 252,952,667,136
  5. Step 5: Solve for x
    x = 252,952,667,136/230,016
  6. Step 6: Final answer
    x = 1,099,717.70

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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.