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Finding the Third Proportional to 974.53 and 1,804.78

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Solution

The third proportional to 974.53 and 1,804.78 is: 3,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.53 : 1,804.78 = 1,804.78 : x
  2. Step 2: Convert to fraction form
    974.53/1,804.78 = 1,804.78/x
  3. Step 3: Cross multiply
    974.53x = 1,804.78 × 1,804.78
  4. Step 4: Simplify right side
    974.53x = 3,257,235.36
  5. Step 5: Solve for x
    x = 3,257,235.36/974.53
  6. Step 6: Final answer
    x = 3,342.36

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.