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Finding the Third Proportional to 353,739 and 500,059

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Solution

The third proportional to 353,739 and 500,059 is: 706,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,739 : 500,059 = 500,059 : x
  2. Step 2: Convert to fraction form
    353,739/500,059 = 500,059/x
  3. Step 3: Cross multiply
    353,739x = 500,059 × 500,059
  4. Step 4: Simplify right side
    353,739x = 250,059,003,481
  5. Step 5: Solve for x
    x = 250,059,003,481/353,739
  6. Step 6: Final answer
    x = 706,902.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.