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Finding the Third Proportional to 240,738 and 372,573

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Solution

The third proportional to 240,738 and 372,573 is: 576,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,738 : 372,573 = 372,573 : x
  2. Step 2: Convert to fraction form
    240,738/372,573 = 372,573/x
  3. Step 3: Cross multiply
    240,738x = 372,573 × 372,573
  4. Step 4: Simplify right side
    240,738x = 138,810,640,329
  5. Step 5: Solve for x
    x = 138,810,640,329/240,738
  6. Step 6: Final answer
    x = 576,604.61

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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.