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Finding the Third Proportional to 275,651.70 and 444,078.47

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Solution

The third proportional to 275,651.70 and 444,078.47 is: 715,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,651.70 : 444,078.47 = 444,078.47 : x
  2. Step 2: Convert to fraction form
    275,651.70/444,078.47 = 444,078.47/x
  3. Step 3: Cross multiply
    275,651.70x = 444,078.47 × 444,078.47
  4. Step 4: Simplify right side
    275,651.70x = 197,205,683,805.33
  5. Step 5: Solve for x
    x = 197,205,683,805.33/275,651.70
  6. Step 6: Final answer
    x = 715,416.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.