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Finding the Third Proportional to 492.25 and 1,074.25

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Solution

The third proportional to 492.25 and 1,074.25 is: 2,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.25 : 1,074.25 = 1,074.25 : x
  2. Step 2: Convert to fraction form
    492.25/1,074.25 = 1,074.25/x
  3. Step 3: Cross multiply
    492.25x = 1,074.25 × 1,074.25
  4. Step 4: Simplify right side
    492.25x = 1,154,013.06
  5. Step 5: Solve for x
    x = 1,154,013.06/492.25
  6. Step 6: Final answer
    x = 2,344.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.