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Finding the Third Proportional to 604.78 and 904.83

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Solution

The third proportional to 604.78 and 904.83 is: 1,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.78 : 904.83 = 904.83 : x
  2. Step 2: Convert to fraction form
    604.78/904.83 = 904.83/x
  3. Step 3: Cross multiply
    604.78x = 904.83 × 904.83
  4. Step 4: Simplify right side
    604.78x = 818,713.94
  5. Step 5: Solve for x
    x = 818,713.94/604.78
  6. Step 6: Final answer
    x = 1,353.74

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