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Finding the Third Proportional to 387,736 and 568,824

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Solution

The third proportional to 387,736 and 568,824 is: 834,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,736 : 568,824 = 568,824 : x
  2. Step 2: Convert to fraction form
    387,736/568,824 = 568,824/x
  3. Step 3: Cross multiply
    387,736x = 568,824 × 568,824
  4. Step 4: Simplify right side
    387,736x = 323,560,742,976
  5. Step 5: Solve for x
    x = 323,560,742,976/387,736
  6. Step 6: Final answer
    x = 834,487.24

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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.