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Finding the Third Proportional to 376,786.31 and 561,287.06

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Solution

The third proportional to 376,786.31 and 561,287.06 is: 836,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,786.31 : 561,287.06 = 561,287.06 : x
  2. Step 2: Convert to fraction form
    376,786.31/561,287.06 = 561,287.06/x
  3. Step 3: Cross multiply
    376,786.31x = 561,287.06 × 561,287.06
  4. Step 4: Simplify right side
    376,786.31x = 315,043,166,529.88
  5. Step 5: Solve for x
    x = 315,043,166,529.88/376,786.31
  6. Step 6: Final answer
    x = 836,132.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.