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Finding the Third Proportional to 526.36 and 791.30

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Solution

The third proportional to 526.36 and 791.30 is: 1,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 791.30 = 791.30 : x
  2. Step 2: Convert to fraction form
    526.36/791.30 = 791.30/x
  3. Step 3: Cross multiply
    526.36x = 791.30 × 791.30
  4. Step 4: Simplify right side
    526.36x = 626,150.74
  5. Step 5: Solve for x
    x = 626,150.74/526.36
  6. Step 6: Final answer
    x = 1,189.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.