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Finding the Third Proportional to 433.88 and 652.69

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Solution

The third proportional to 433.88 and 652.69 is: 981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.88 : 652.69 = 652.69 : x
  2. Step 2: Convert to fraction form
    433.88/652.69 = 652.69/x
  3. Step 3: Cross multiply
    433.88x = 652.69 × 652.69
  4. Step 4: Simplify right side
    433.88x = 426,000.97
  5. Step 5: Solve for x
    x = 426,000.97/433.88
  6. Step 6: Final answer
    x = 981.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.