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Finding the Third Proportional to 525.66 and 769.92

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Solution

The third proportional to 525.66 and 769.92 is: 1,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.66 : 769.92 = 769.92 : x
  2. Step 2: Convert to fraction form
    525.66/769.92 = 769.92/x
  3. Step 3: Cross multiply
    525.66x = 769.92 × 769.92
  4. Step 4: Simplify right side
    525.66x = 592,779.69
  5. Step 5: Solve for x
    x = 592,779.69/525.66
  6. Step 6: Final answer
    x = 1,127.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.