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Finding the Third Proportional to 199,578 and 430,809

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Solution

The third proportional to 199,578 and 430,809 is: 929,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,578 : 430,809 = 430,809 : x
  2. Step 2: Convert to fraction form
    199,578/430,809 = 430,809/x
  3. Step 3: Cross multiply
    199,578x = 430,809 × 430,809
  4. Step 4: Simplify right side
    199,578x = 185,596,394,481
  5. Step 5: Solve for x
    x = 185,596,394,481/199,578
  6. Step 6: Final answer
    x = 929,944.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.