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Finding the Third Proportional to 977.22 and 1,804.94

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Solution

The third proportional to 977.22 and 1,804.94 is: 3,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.22 : 1,804.94 = 1,804.94 : x
  2. Step 2: Convert to fraction form
    977.22/1,804.94 = 1,804.94/x
  3. Step 3: Cross multiply
    977.22x = 1,804.94 × 1,804.94
  4. Step 4: Simplify right side
    977.22x = 3,257,806.43
  5. Step 5: Solve for x
    x = 3,257,806.43/977.22
  6. Step 6: Final answer
    x = 3,333.75

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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.