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Finding the Third Proportional to 526.88 and 797.44

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Solution

The third proportional to 526.88 and 797.44 is: 1,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.88 : 797.44 = 797.44 : x
  2. Step 2: Convert to fraction form
    526.88/797.44 = 797.44/x
  3. Step 3: Cross multiply
    526.88x = 797.44 × 797.44
  4. Step 4: Simplify right side
    526.88x = 635,906.57
  5. Step 5: Solve for x
    x = 635,906.57/526.88
  6. Step 6: Final answer
    x = 1,206.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.