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Finding the Third Proportional to 551,350 and 827,250

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Solution

The third proportional to 551,350 and 827,250 is: 1,241,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,350 : 827,250 = 827,250 : x
  2. Step 2: Convert to fraction form
    551,350/827,250 = 827,250/x
  3. Step 3: Cross multiply
    551,350x = 827,250 × 827,250
  4. Step 4: Simplify right side
    551,350x = 684,342,562,500
  5. Step 5: Solve for x
    x = 684,342,562,500/551,350
  6. Step 6: Final answer
    x = 1,241,212.59

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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.