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Finding the Third Proportional to 300.94 and 499.78

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Solution

The third proportional to 300.94 and 499.78 is: 830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 499.78 = 499.78 : x
  2. Step 2: Convert to fraction form
    300.94/499.78 = 499.78/x
  3. Step 3: Cross multiply
    300.94x = 499.78 × 499.78
  4. Step 4: Simplify right side
    300.94x = 249,781.30
  5. Step 5: Solve for x
    x = 249,781.30/300.94
  6. Step 6: Final answer
    x = 830.01

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.