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Finding the Third Proportional to 395,062 and 932,218

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Solution

The third proportional to 395,062 and 932,218 is: 2,199,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,062 : 932,218 = 932,218 : x
  2. Step 2: Convert to fraction form
    395,062/932,218 = 932,218/x
  3. Step 3: Cross multiply
    395,062x = 932,218 × 932,218
  4. Step 4: Simplify right side
    395,062x = 869,030,399,524
  5. Step 5: Solve for x
    x = 869,030,399,524/395,062
  6. Step 6: Final answer
    x = 2,199,731.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.