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Finding the Third Proportional to 387,758 and 568,875

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Solution

The third proportional to 387,758 and 568,875 is: 834,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,758 : 568,875 = 568,875 : x
  2. Step 2: Convert to fraction form
    387,758/568,875 = 568,875/x
  3. Step 3: Cross multiply
    387,758x = 568,875 × 568,875
  4. Step 4: Simplify right side
    387,758x = 323,618,765,625
  5. Step 5: Solve for x
    x = 323,618,765,625/387,758
  6. Step 6: Final answer
    x = 834,589.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.