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Finding the Third Proportional to 474.88 and 728.94

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Solution

The third proportional to 474.88 and 728.94 is: 1,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 728.94 = 728.94 : x
  2. Step 2: Convert to fraction form
    474.88/728.94 = 728.94/x
  3. Step 3: Cross multiply
    474.88x = 728.94 × 728.94
  4. Step 4: Simplify right side
    474.88x = 531,349.88
  5. Step 5: Solve for x
    x = 531,349.88/474.88
  6. Step 6: Final answer
    x = 1,118.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.