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Finding the Third Proportional to 428.48 and 639.92

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Solution

The third proportional to 428.48 and 639.92 is: 955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.48 : 639.92 = 639.92 : x
  2. Step 2: Convert to fraction form
    428.48/639.92 = 639.92/x
  3. Step 3: Cross multiply
    428.48x = 639.92 × 639.92
  4. Step 4: Simplify right side
    428.48x = 409,499.85
  5. Step 5: Solve for x
    x = 409,499.85/428.48
  6. Step 6: Final answer
    x = 955.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.