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Finding the Third Proportional to 343,542 and 483,753

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Solution

The third proportional to 343,542 and 483,753 is: 681,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,542 : 483,753 = 483,753 : x
  2. Step 2: Convert to fraction form
    343,542/483,753 = 483,753/x
  3. Step 3: Cross multiply
    343,542x = 483,753 × 483,753
  4. Step 4: Simplify right side
    343,542x = 234,016,965,009
  5. Step 5: Solve for x
    x = 234,016,965,009/343,542
  6. Step 6: Final answer
    x = 681,188.81

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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.