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Finding the Third Proportional to 365.48 and 789.47

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Solution

The third proportional to 365.48 and 789.47 is: 1,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.48 : 789.47 = 789.47 : x
  2. Step 2: Convert to fraction form
    365.48/789.47 = 789.47/x
  3. Step 3: Cross multiply
    365.48x = 789.47 × 789.47
  4. Step 4: Simplify right side
    365.48x = 623,260.91
  5. Step 5: Solve for x
    x = 623,260.91/365.48
  6. Step 6: Final answer
    x = 1,705.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.