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Finding the Third Proportional to 254,172 and 552,609

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Solution

The third proportional to 254,172 and 552,609 is: 1,201,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,172 : 552,609 = 552,609 : x
  2. Step 2: Convert to fraction form
    254,172/552,609 = 552,609/x
  3. Step 3: Cross multiply
    254,172x = 552,609 × 552,609
  4. Step 4: Simplify right side
    254,172x = 305,376,706,881
  5. Step 5: Solve for x
    x = 305,376,706,881/254,172
  6. Step 6: Final answer
    x = 1,201,456.91

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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.