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Finding the Third Proportional to 472.31 and 511.69

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Solution

The third proportional to 472.31 and 511.69 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.31 : 511.69 = 511.69 : x
  2. Step 2: Convert to fraction form
    472.31/511.69 = 511.69/x
  3. Step 3: Cross multiply
    472.31x = 511.69 × 511.69
  4. Step 4: Simplify right side
    472.31x = 261,824.10
  5. Step 5: Solve for x
    x = 261,824.10/472.31
  6. Step 6: Final answer
    x = 554.35

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.