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Finding the Third Proportional to 284,204 and 613,948

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Solution

The third proportional to 284,204 and 613,948 is: 1,326,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,204 : 613,948 = 613,948 : x
  2. Step 2: Convert to fraction form
    284,204/613,948 = 613,948/x
  3. Step 3: Cross multiply
    284,204x = 613,948 × 613,948
  4. Step 4: Simplify right side
    284,204x = 376,932,146,704
  5. Step 5: Solve for x
    x = 376,932,146,704/284,204
  6. Step 6: Final answer
    x = 1,326,273.19

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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.