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Finding the Third Proportional to 368,444 and 568,941

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Solution

The third proportional to 368,444 and 568,941 is: 878,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,444 : 568,941 = 568,941 : x
  2. Step 2: Convert to fraction form
    368,444/568,941 = 568,941/x
  3. Step 3: Cross multiply
    368,444x = 568,941 × 568,941
  4. Step 4: Simplify right side
    368,444x = 323,693,861,481
  5. Step 5: Solve for x
    x = 323,693,861,481/368,444
  6. Step 6: Final answer
    x = 878,542.90

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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.