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Finding the Third Proportional to 254,204 and 547,807

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Solution

The third proportional to 254,204 and 547,807 is: 1,180,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,204 : 547,807 = 547,807 : x
  2. Step 2: Convert to fraction form
    254,204/547,807 = 547,807/x
  3. Step 3: Cross multiply
    254,204x = 547,807 × 547,807
  4. Step 4: Simplify right side
    254,204x = 300,092,509,249
  5. Step 5: Solve for x
    x = 300,092,509,249/254,204
  6. Step 6: Final answer
    x = 1,180,518.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.