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Finding the Third Proportional to 322,037.44 and 437,359.13

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Solution

The third proportional to 322,037.44 and 437,359.13 is: 593,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,037.44 : 437,359.13 = 437,359.13 : x
  2. Step 2: Convert to fraction form
    322,037.44/437,359.13 = 437,359.13/x
  3. Step 3: Cross multiply
    322,037.44x = 437,359.13 × 437,359.13
  4. Step 4: Simplify right side
    322,037.44x = 191,283,004,220.77
  5. Step 5: Solve for x
    x = 191,283,004,220.77/322,037.44
  6. Step 6: Final answer
    x = 593,977.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.