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Finding the Third Proportional to 492.64 and 1,137.64

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Solution

The third proportional to 492.64 and 1,137.64 is: 2,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 1,137.64 = 1,137.64 : x
  2. Step 2: Convert to fraction form
    492.64/1,137.64 = 1,137.64/x
  3. Step 3: Cross multiply
    492.64x = 1,137.64 × 1,137.64
  4. Step 4: Simplify right side
    492.64x = 1,294,221.75
  5. Step 5: Solve for x
    x = 1,294,221.75/492.64
  6. Step 6: Final answer
    x = 2,627.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.