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Finding the Third Proportional to 526.22 and 764.72

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Solution

The third proportional to 526.22 and 764.72 is: 1,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.22 : 764.72 = 764.72 : x
  2. Step 2: Convert to fraction form
    526.22/764.72 = 764.72/x
  3. Step 3: Cross multiply
    526.22x = 764.72 × 764.72
  4. Step 4: Simplify right side
    526.22x = 584,794.77
  5. Step 5: Solve for x
    x = 584,794.77/526.22
  6. Step 6: Final answer
    x = 1,111.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.