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Finding the Third Proportional to 472.25 and 718.25

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Solution

The third proportional to 472.25 and 718.25 is: 1,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 718.25 = 718.25 : x
  2. Step 2: Convert to fraction form
    472.25/718.25 = 718.25/x
  3. Step 3: Cross multiply
    472.25x = 718.25 × 718.25
  4. Step 4: Simplify right side
    472.25x = 515,883.06
  5. Step 5: Solve for x
    x = 515,883.06/472.25
  6. Step 6: Final answer
    x = 1,092.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.