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Finding the Third Proportional to 547,004.50 and 827,797

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Solution

The third proportional to 547,004.50 and 827,797 is: 1,252,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,004.50 : 827,797 = 827,797 : x
  2. Step 2: Convert to fraction form
    547,004.50/827,797 = 827,797/x
  3. Step 3: Cross multiply
    547,004.50x = 827,797 × 827,797
  4. Step 4: Simplify right side
    547,004.50x = 685,247,873,209
  5. Step 5: Solve for x
    x = 685,247,873,209/547,004.50
  6. Step 6: Final answer
    x = 1,252,728.04

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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.