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Finding the Third Proportional to 336,868.88 and 738,322.88

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Solution

The third proportional to 336,868.88 and 738,322.88 is: 1,618,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,868.88 : 738,322.88 = 738,322.88 : x
  2. Step 2: Convert to fraction form
    336,868.88/738,322.88 = 738,322.88/x
  3. Step 3: Cross multiply
    336,868.88x = 738,322.88 × 738,322.88
  4. Step 4: Simplify right side
    336,868.88x = 545,120,667,748.27
  5. Step 5: Solve for x
    x = 545,120,667,748.27/336,868.88
  6. Step 6: Final answer
    x = 1,618,198.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.