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Finding the Third Proportional to 239,578 and 370,909

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Solution

The third proportional to 239,578 and 370,909 is: 574,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,578 : 370,909 = 370,909 : x
  2. Step 2: Convert to fraction form
    239,578/370,909 = 370,909/x
  3. Step 3: Cross multiply
    239,578x = 370,909 × 370,909
  4. Step 4: Simplify right side
    239,578x = 137,573,486,281
  5. Step 5: Solve for x
    x = 137,573,486,281/239,578
  6. Step 6: Final answer
    x = 574,232.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.