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Finding the Third Proportional to 209,792 and 322,652

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Solution

The third proportional to 209,792 and 322,652 is: 496,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792 : 322,652 = 322,652 : x
  2. Step 2: Convert to fraction form
    209,792/322,652 = 322,652/x
  3. Step 3: Cross multiply
    209,792x = 322,652 × 322,652
  4. Step 4: Simplify right side
    209,792x = 104,104,313,104
  5. Step 5: Solve for x
    x = 104,104,313,104/209,792
  6. Step 6: Final answer
    x = 496,226.32

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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.