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Finding the Third Proportional to 523.06 and 775.94

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Solution

The third proportional to 523.06 and 775.94 is: 1,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 775.94 = 775.94 : x
  2. Step 2: Convert to fraction form
    523.06/775.94 = 775.94/x
  3. Step 3: Cross multiply
    523.06x = 775.94 × 775.94
  4. Step 4: Simplify right side
    523.06x = 602,079.00
  5. Step 5: Solve for x
    x = 602,079.00/523.06
  6. Step 6: Final answer
    x = 1,151.07

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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.