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Finding the Third Proportional to 525.94 and 778.64

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Solution

The third proportional to 525.94 and 778.64 is: 1,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.94 : 778.64 = 778.64 : x
  2. Step 2: Convert to fraction form
    525.94/778.64 = 778.64/x
  3. Step 3: Cross multiply
    525.94x = 778.64 × 778.64
  4. Step 4: Simplify right side
    525.94x = 606,281.22
  5. Step 5: Solve for x
    x = 606,281.22/525.94
  6. Step 6: Final answer
    x = 1,152.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.