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Finding the Third Proportional to 506.25 and 782.16

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Solution

The third proportional to 506.25 and 782.16 is: 1,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 782.16 = 782.16 : x
  2. Step 2: Convert to fraction form
    506.25/782.16 = 782.16/x
  3. Step 3: Cross multiply
    506.25x = 782.16 × 782.16
  4. Step 4: Simplify right side
    506.25x = 611,768.40
  5. Step 5: Solve for x
    x = 611,768.40/506.25
  6. Step 6: Final answer
    x = 1,208.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.