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Finding the Third Proportional to 340,658.44 and 739,270.69

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Solution

The third proportional to 340,658.44 and 739,270.69 is: 1,604,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,658.44 : 739,270.69 = 739,270.69 : x
  2. Step 2: Convert to fraction form
    340,658.44/739,270.69 = 739,270.69/x
  3. Step 3: Cross multiply
    340,658.44x = 739,270.69 × 739,270.69
  4. Step 4: Simplify right side
    340,658.44x = 546,521,149,396.72
  5. Step 5: Solve for x
    x = 546,521,149,396.72/340,658.44
  6. Step 6: Final answer
    x = 1,604,308.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.