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Finding the Third Proportional to 299.63 and 437.88

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Solution

The third proportional to 299.63 and 437.88 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.63 : 437.88 = 437.88 : x
  2. Step 2: Convert to fraction form
    299.63/437.88 = 437.88/x
  3. Step 3: Cross multiply
    299.63x = 437.88 × 437.88
  4. Step 4: Simplify right side
    299.63x = 191,734.52
  5. Step 5: Solve for x
    x = 191,734.52/299.63
  6. Step 6: Final answer
    x = 639.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.