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Finding the Third Proportional to 327,186 and 490,779

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Solution

The third proportional to 327,186 and 490,779 is: 736,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,186 : 490,779 = 490,779 : x
  2. Step 2: Convert to fraction form
    327,186/490,779 = 490,779/x
  3. Step 3: Cross multiply
    327,186x = 490,779 × 490,779
  4. Step 4: Simplify right side
    327,186x = 240,864,026,841
  5. Step 5: Solve for x
    x = 240,864,026,841/327,186
  6. Step 6: Final answer
    x = 736,168.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.