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Finding the Third Proportional to 364.78 and 790.31

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Solution

The third proportional to 364.78 and 790.31 is: 1,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 790.31 = 790.31 : x
  2. Step 2: Convert to fraction form
    364.78/790.31 = 790.31/x
  3. Step 3: Cross multiply
    364.78x = 790.31 × 790.31
  4. Step 4: Simplify right side
    364.78x = 624,593.85
  5. Step 5: Solve for x
    x = 624,593.85/364.78
  6. Step 6: Final answer
    x = 1,712.24

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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.