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Finding the Third Proportional to 367,071 and 680,739

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Solution

The third proportional to 367,071 and 680,739 is: 1,262,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,071 : 680,739 = 680,739 : x
  2. Step 2: Convert to fraction form
    367,071/680,739 = 680,739/x
  3. Step 3: Cross multiply
    367,071x = 680,739 × 680,739
  4. Step 4: Simplify right side
    367,071x = 463,405,586,121
  5. Step 5: Solve for x
    x = 463,405,586,121/367,071
  6. Step 6: Final answer
    x = 1,262,441.29

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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.