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Finding the Third Proportional to 525.42 and 772.92

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Solution

The third proportional to 525.42 and 772.92 is: 1,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 772.92 = 772.92 : x
  2. Step 2: Convert to fraction form
    525.42/772.92 = 772.92/x
  3. Step 3: Cross multiply
    525.42x = 772.92 × 772.92
  4. Step 4: Simplify right side
    525.42x = 597,408.22
  5. Step 5: Solve for x
    x = 597,408.22/525.42
  6. Step 6: Final answer
    x = 1,137.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.