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Finding the Third Proportional to 387,512.44 and 565,958.81

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Solution

The third proportional to 387,512.44 and 565,958.81 is: 826,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,512.44 : 565,958.81 = 565,958.81 : x
  2. Step 2: Convert to fraction form
    387,512.44/565,958.81 = 565,958.81/x
  3. Step 3: Cross multiply
    387,512.44x = 565,958.81 × 565,958.81
  4. Step 4: Simplify right side
    387,512.44x = 320,309,377,446.41
  5. Step 5: Solve for x
    x = 320,309,377,446.41/387,512.44
  6. Step 6: Final answer
    x = 826,578.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.