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Finding the Third Proportional to 254,205 and 552,676

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Solution

The third proportional to 254,205 and 552,676 is: 1,201,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,205 : 552,676 = 552,676 : x
  2. Step 2: Convert to fraction form
    254,205/552,676 = 552,676/x
  3. Step 3: Cross multiply
    254,205x = 552,676 × 552,676
  4. Step 4: Simplify right side
    254,205x = 305,450,760,976
  5. Step 5: Solve for x
    x = 305,450,760,976/254,205
  6. Step 6: Final answer
    x = 1,201,592.26

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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.