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Finding the Third Proportional to 523.13 and 782.06

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Solution

The third proportional to 523.13 and 782.06 is: 1,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 782.06 = 782.06 : x
  2. Step 2: Convert to fraction form
    523.13/782.06 = 782.06/x
  3. Step 3: Cross multiply
    523.13x = 782.06 × 782.06
  4. Step 4: Simplify right side
    523.13x = 611,621.75
  5. Step 5: Solve for x
    x = 611,621.75/523.13
  6. Step 6: Final answer
    x = 1,169.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.