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Finding the Third Proportional to 325,491 and 492,828

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Solution

The third proportional to 325,491 and 492,828 is: 746,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,491 : 492,828 = 492,828 : x
  2. Step 2: Convert to fraction form
    325,491/492,828 = 492,828/x
  3. Step 3: Cross multiply
    325,491x = 492,828 × 492,828
  4. Step 4: Simplify right side
    325,491x = 242,879,437,584
  5. Step 5: Solve for x
    x = 242,879,437,584/325,491
  6. Step 6: Final answer
    x = 746,194.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.