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Finding the Third Proportional to 368,934 and 587,241

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Solution

The third proportional to 368,934 and 587,241 is: 934,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,934 : 587,241 = 587,241 : x
  2. Step 2: Convert to fraction form
    368,934/587,241 = 587,241/x
  3. Step 3: Cross multiply
    368,934x = 587,241 × 587,241
  4. Step 4: Simplify right side
    368,934x = 344,851,992,081
  5. Step 5: Solve for x
    x = 344,851,992,081/368,934
  6. Step 6: Final answer
    x = 934,725.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.