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Finding the Third Proportional to 387,180 and 568,073.25

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Solution

The third proportional to 387,180 and 568,073.25 is: 833,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,180 : 568,073.25 = 568,073.25 : x
  2. Step 2: Convert to fraction form
    387,180/568,073.25 = 568,073.25/x
  3. Step 3: Cross multiply
    387,180x = 568,073.25 × 568,073.25
  4. Step 4: Simplify right side
    387,180x = 322,707,217,365.56
  5. Step 5: Solve for x
    x = 322,707,217,365.56/387,180
  6. Step 6: Final answer
    x = 833,481.11

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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.