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Finding the Third Proportional to 182,785 and 400,884

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Solution

The third proportional to 182,785 and 400,884 is: 879,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,785 : 400,884 = 400,884 : x
  2. Step 2: Convert to fraction form
    182,785/400,884 = 400,884/x
  3. Step 3: Cross multiply
    182,785x = 400,884 × 400,884
  4. Step 4: Simplify right side
    182,785x = 160,707,981,456
  5. Step 5: Solve for x
    x = 160,707,981,456/182,785
  6. Step 6: Final answer
    x = 879,218.65

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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.