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Finding the Third Proportional to 237,886 and 512,906

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Solution

The third proportional to 237,886 and 512,906 is: 1,105,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,886 : 512,906 = 512,906 : x
  2. Step 2: Convert to fraction form
    237,886/512,906 = 512,906/x
  3. Step 3: Cross multiply
    237,886x = 512,906 × 512,906
  4. Step 4: Simplify right side
    237,886x = 263,072,564,836
  5. Step 5: Solve for x
    x = 263,072,564,836/237,886
  6. Step 6: Final answer
    x = 1,105,876.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.