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Finding the Third Proportional to 254,205 and 547,812

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Solution

The third proportional to 254,205 and 547,812 is: 1,180,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,205 : 547,812 = 547,812 : x
  2. Step 2: Convert to fraction form
    254,205/547,812 = 547,812/x
  3. Step 3: Cross multiply
    254,205x = 547,812 × 547,812
  4. Step 4: Simplify right side
    254,205x = 300,097,987,344
  5. Step 5: Solve for x
    x = 300,097,987,344/254,205
  6. Step 6: Final answer
    x = 1,180,535.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.