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Finding the Third Proportional to 254,859 and 554,022

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Solution

The third proportional to 254,859 and 554,022 is: 1,204,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,859 : 554,022 = 554,022 : x
  2. Step 2: Convert to fraction form
    254,859/554,022 = 554,022/x
  3. Step 3: Cross multiply
    254,859x = 554,022 × 554,022
  4. Step 4: Simplify right side
    254,859x = 306,940,376,484
  5. Step 5: Solve for x
    x = 306,940,376,484/254,859
  6. Step 6: Final answer
    x = 1,204,353.69

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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.