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Finding the Third Proportional to 343,532 and 451,743

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Solution

The third proportional to 343,532 and 451,743 is: 594,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,532 : 451,743 = 451,743 : x
  2. Step 2: Convert to fraction form
    343,532/451,743 = 451,743/x
  3. Step 3: Cross multiply
    343,532x = 451,743 × 451,743
  4. Step 4: Simplify right side
    343,532x = 204,071,738,049
  5. Step 5: Solve for x
    x = 204,071,738,049/343,532
  6. Step 6: Final answer
    x = 594,039.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.