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Finding the Third Proportional to 547,002.50 and 827,793.75

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Solution

The third proportional to 547,002.50 and 827,793.75 is: 1,252,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,002.50 : 827,793.75 = 827,793.75 : x
  2. Step 2: Convert to fraction form
    547,002.50/827,793.75 = 827,793.75/x
  3. Step 3: Cross multiply
    547,002.50x = 827,793.75 × 827,793.75
  4. Step 4: Simplify right side
    547,002.50x = 685,242,492,539.06
  5. Step 5: Solve for x
    x = 685,242,492,539.06/547,002.50
  6. Step 6: Final answer
    x = 1,252,722.78

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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.