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Finding the Third Proportional to 552,834 and 833,147

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Solution

The third proportional to 552,834 and 833,147 is: 1,255,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,834 : 833,147 = 833,147 : x
  2. Step 2: Convert to fraction form
    552,834/833,147 = 833,147/x
  3. Step 3: Cross multiply
    552,834x = 833,147 × 833,147
  4. Step 4: Simplify right side
    552,834x = 694,133,923,609
  5. Step 5: Solve for x
    x = 694,133,923,609/552,834
  6. Step 6: Final answer
    x = 1,255,591.96

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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.