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Finding the Third Proportional to 410.91 and 533.67

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Solution

The third proportional to 410.91 and 533.67 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 533.67 = 533.67 : x
  2. Step 2: Convert to fraction form
    410.91/533.67 = 533.67/x
  3. Step 3: Cross multiply
    410.91x = 533.67 × 533.67
  4. Step 4: Simplify right side
    410.91x = 284,805.67
  5. Step 5: Solve for x
    x = 284,805.67/410.91
  6. Step 6: Final answer
    x = 693.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.