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Finding the Third Proportional to 254,175 and 552,615

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Solution

The third proportional to 254,175 and 552,615 is: 1,201,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,175 : 552,615 = 552,615 : x
  2. Step 2: Convert to fraction form
    254,175/552,615 = 552,615/x
  3. Step 3: Cross multiply
    254,175x = 552,615 × 552,615
  4. Step 4: Simplify right side
    254,175x = 305,383,338,225
  5. Step 5: Solve for x
    x = 305,383,338,225/254,175
  6. Step 6: Final answer
    x = 1,201,468.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.