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Finding the Third Proportional to 325,871 and 492,087

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Solution

The third proportional to 325,871 and 492,087 is: 743,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,871 : 492,087 = 492,087 : x
  2. Step 2: Convert to fraction form
    325,871/492,087 = 492,087/x
  3. Step 3: Cross multiply
    325,871x = 492,087 × 492,087
  4. Step 4: Simplify right side
    325,871x = 242,149,615,569
  5. Step 5: Solve for x
    x = 242,149,615,569/325,871
  6. Step 6: Final answer
    x = 743,084.27

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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.