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Finding the Third Proportional to 547,401 and 820,280.50

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Solution

The third proportional to 547,401 and 820,280.50 is: 1,229,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,401 : 820,280.50 = 820,280.50 : x
  2. Step 2: Convert to fraction form
    547,401/820,280.50 = 820,280.50/x
  3. Step 3: Cross multiply
    547,401x = 820,280.50 × 820,280.50
  4. Step 4: Simplify right side
    547,401x = 672,860,098,680.25
  5. Step 5: Solve for x
    x = 672,860,098,680.25/547,401
  6. Step 6: Final answer
    x = 1,229,190.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.