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Finding the Third Proportional to 576.38 and 782.25

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Solution

The third proportional to 576.38 and 782.25 is: 1,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 782.25 = 782.25 : x
  2. Step 2: Convert to fraction form
    576.38/782.25 = 782.25/x
  3. Step 3: Cross multiply
    576.38x = 782.25 × 782.25
  4. Step 4: Simplify right side
    576.38x = 611,915.06
  5. Step 5: Solve for x
    x = 611,915.06/576.38
  6. Step 6: Final answer
    x = 1,061.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.