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Finding the Third Proportional to 472.88 and 734.63

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Solution

The third proportional to 472.88 and 734.63 is: 1,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 734.63 = 734.63 : x
  2. Step 2: Convert to fraction form
    472.88/734.63 = 734.63/x
  3. Step 3: Cross multiply
    472.88x = 734.63 × 734.63
  4. Step 4: Simplify right side
    472.88x = 539,673.89
  5. Step 5: Solve for x
    x = 539,673.89/472.88
  6. Step 6: Final answer
    x = 1,141.26

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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.