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Finding the Third Proportional to 472.50 and 734.44

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Solution

The third proportional to 472.50 and 734.44 is: 1,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 734.44 = 734.44 : x
  2. Step 2: Convert to fraction form
    472.50/734.44 = 734.44/x
  3. Step 3: Cross multiply
    472.50x = 734.44 × 734.44
  4. Step 4: Simplify right side
    472.50x = 539,398.44
  5. Step 5: Solve for x
    x = 539,398.44/472.50
  6. Step 6: Final answer
    x = 1,141.58

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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.