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Finding the Third Proportional to 376,751.25 and 565,972.31

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Solution

The third proportional to 376,751.25 and 565,972.31 is: 850,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,751.25 : 565,972.31 = 565,972.31 : x
  2. Step 2: Convert to fraction form
    376,751.25/565,972.31 = 565,972.31/x
  3. Step 3: Cross multiply
    376,751.25x = 565,972.31 × 565,972.31
  4. Step 4: Simplify right side
    376,751.25x = 320,324,658,516.60
  5. Step 5: Solve for x
    x = 320,324,658,516.60/376,751.25
  6. Step 6: Final answer
    x = 850,228.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.