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Finding the Third Proportional to 368,450 and 568,962

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Solution

The third proportional to 368,450 and 568,962 is: 878,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,450 : 568,962 = 568,962 : x
  2. Step 2: Convert to fraction form
    368,450/568,962 = 568,962/x
  3. Step 3: Cross multiply
    368,450x = 568,962 × 568,962
  4. Step 4: Simplify right side
    368,450x = 323,717,757,444
  5. Step 5: Solve for x
    x = 323,717,757,444/368,450
  6. Step 6: Final answer
    x = 878,593.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.