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Finding the Third Proportional to 492.75 and 738.50

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Solution

The third proportional to 492.75 and 738.50 is: 1,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 738.50 = 738.50 : x
  2. Step 2: Convert to fraction form
    492.75/738.50 = 738.50/x
  3. Step 3: Cross multiply
    492.75x = 738.50 × 738.50
  4. Step 4: Simplify right side
    492.75x = 545,382.25
  5. Step 5: Solve for x
    x = 545,382.25/492.75
  6. Step 6: Final answer
    x = 1,106.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.