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Finding the Third Proportional to 550,496 and 850,793

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Solution

The third proportional to 550,496 and 850,793 is: 1,314,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,496 : 850,793 = 850,793 : x
  2. Step 2: Convert to fraction form
    550,496/850,793 = 850,793/x
  3. Step 3: Cross multiply
    550,496x = 850,793 × 850,793
  4. Step 4: Simplify right side
    550,496x = 723,848,728,849
  5. Step 5: Solve for x
    x = 723,848,728,849/550,496
  6. Step 6: Final answer
    x = 1,314,902.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.