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Finding the Third Proportional to 368.86 and 794.53

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Solution

The third proportional to 368.86 and 794.53 is: 1,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.86 : 794.53 = 794.53 : x
  2. Step 2: Convert to fraction form
    368.86/794.53 = 794.53/x
  3. Step 3: Cross multiply
    368.86x = 794.53 × 794.53
  4. Step 4: Simplify right side
    368.86x = 631,279.91
  5. Step 5: Solve for x
    x = 631,279.91/368.86
  6. Step 6: Final answer
    x = 1,711.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.