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Finding the Third Proportional to 181,917 and 424,906

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Solution

The third proportional to 181,917 and 424,906 is: 992,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,917 : 424,906 = 424,906 : x
  2. Step 2: Convert to fraction form
    181,917/424,906 = 424,906/x
  3. Step 3: Cross multiply
    181,917x = 424,906 × 424,906
  4. Step 4: Simplify right side
    181,917x = 180,545,108,836
  5. Step 5: Solve for x
    x = 180,545,108,836/181,917
  6. Step 6: Final answer
    x = 992,458.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.