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Finding the Third Proportional to 492.75 and 716.06

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Solution

The third proportional to 492.75 and 716.06 is: 1,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 716.06 = 716.06 : x
  2. Step 2: Convert to fraction form
    492.75/716.06 = 716.06/x
  3. Step 3: Cross multiply
    492.75x = 716.06 × 716.06
  4. Step 4: Simplify right side
    492.75x = 512,745.50
  5. Step 5: Solve for x
    x = 512,745.50/492.75
  6. Step 6: Final answer
    x = 1,040.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.