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Finding the Third Proportional to 314,396.44 and 444,439.41

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Solution

The third proportional to 314,396.44 and 444,439.41 is: 628,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,396.44 : 444,439.41 = 444,439.41 : x
  2. Step 2: Convert to fraction form
    314,396.44/444,439.41 = 444,439.41/x
  3. Step 3: Cross multiply
    314,396.44x = 444,439.41 × 444,439.41
  4. Step 4: Simplify right side
    314,396.44x = 197,526,385,827.85
  5. Step 5: Solve for x
    x = 197,526,385,827.85/314,396.44
  6. Step 6: Final answer
    x = 628,271.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.