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Finding the Third Proportional to 239,586 and 371,488

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Solution

The third proportional to 239,586 and 371,488 is: 576,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,586 : 371,488 = 371,488 : x
  2. Step 2: Convert to fraction form
    239,586/371,488 = 371,488/x
  3. Step 3: Cross multiply
    239,586x = 371,488 × 371,488
  4. Step 4: Simplify right side
    239,586x = 138,003,334,144
  5. Step 5: Solve for x
    x = 138,003,334,144/239,586
  6. Step 6: Final answer
    x = 576,007.51

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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.