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Finding the Third Proportional to 367,089 and 680,775

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Solution

The third proportional to 367,089 and 680,775 is: 1,262,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,089 : 680,775 = 680,775 : x
  2. Step 2: Convert to fraction form
    367,089/680,775 = 680,775/x
  3. Step 3: Cross multiply
    367,089x = 680,775 × 680,775
  4. Step 4: Simplify right side
    367,089x = 463,454,600,625
  5. Step 5: Solve for x
    x = 463,454,600,625/367,089
  6. Step 6: Final answer
    x = 1,262,512.91

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.