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Finding the Third Proportional to 472.88 and 525.19

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Solution

The third proportional to 472.88 and 525.19 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 525.19 = 525.19 : x
  2. Step 2: Convert to fraction form
    472.88/525.19 = 525.19/x
  3. Step 3: Cross multiply
    472.88x = 525.19 × 525.19
  4. Step 4: Simplify right side
    472.88x = 275,821.91
  5. Step 5: Solve for x
    x = 275,821.91/472.88
  6. Step 6: Final answer
    x = 583.29

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.