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Finding the Third Proportional to 254,216 and 552,698

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Solution

The third proportional to 254,216 and 552,698 is: 1,201,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,216 : 552,698 = 552,698 : x
  2. Step 2: Convert to fraction form
    254,216/552,698 = 552,698/x
  3. Step 3: Cross multiply
    254,216x = 552,698 × 552,698
  4. Step 4: Simplify right side
    254,216x = 305,475,079,204
  5. Step 5: Solve for x
    x = 305,475,079,204/254,216
  6. Step 6: Final answer
    x = 1,201,635.93

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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.