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Finding the Third Proportional to 492,162 and 759,230

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Solution

The third proportional to 492,162 and 759,230 is: 1,171,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,162 : 759,230 = 759,230 : x
  2. Step 2: Convert to fraction form
    492,162/759,230 = 759,230/x
  3. Step 3: Cross multiply
    492,162x = 759,230 × 759,230
  4. Step 4: Simplify right side
    492,162x = 576,430,192,900
  5. Step 5: Solve for x
    x = 576,430,192,900/492,162
  6. Step 6: Final answer
    x = 1,171,220.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.