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Finding the Third Proportional to 364.29 and 794.39

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Solution

The third proportional to 364.29 and 794.39 is: 1,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.29 : 794.39 = 794.39 : x
  2. Step 2: Convert to fraction form
    364.29/794.39 = 794.39/x
  3. Step 3: Cross multiply
    364.29x = 794.39 × 794.39
  4. Step 4: Simplify right side
    364.29x = 631,056.47
  5. Step 5: Solve for x
    x = 631,056.47/364.29
  6. Step 6: Final answer
    x = 1,732.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.