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Finding the Third Proportional to 387,186 and 568,083

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Solution

The third proportional to 387,186 and 568,083 is: 833,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,186 : 568,083 = 568,083 : x
  2. Step 2: Convert to fraction form
    387,186/568,083 = 568,083/x
  3. Step 3: Cross multiply
    387,186x = 568,083 × 568,083
  4. Step 4: Simplify right side
    387,186x = 322,718,294,889
  5. Step 5: Solve for x
    x = 322,718,294,889/387,186
  6. Step 6: Final answer
    x = 833,496.81

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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.