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Finding the Third Proportional to 364.99 and 791.93

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Solution

The third proportional to 364.99 and 791.93 is: 1,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.99 : 791.93 = 791.93 : x
  2. Step 2: Convert to fraction form
    364.99/791.93 = 791.93/x
  3. Step 3: Cross multiply
    364.99x = 791.93 × 791.93
  4. Step 4: Simplify right side
    364.99x = 627,152.63
  5. Step 5: Solve for x
    x = 627,152.63/364.99
  6. Step 6: Final answer
    x = 1,718.26

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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.