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Finding the Third Proportional to 761.91 and 825.19

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Solution

The third proportional to 761.91 and 825.19 is: 893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.91 : 825.19 = 825.19 : x
  2. Step 2: Convert to fraction form
    761.91/825.19 = 825.19/x
  3. Step 3: Cross multiply
    761.91x = 825.19 × 825.19
  4. Step 4: Simplify right side
    761.91x = 680,934.41
  5. Step 5: Solve for x
    x = 680,934.41/761.91
  6. Step 6: Final answer
    x = 893.72

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.