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Finding the Third Proportional to 254,019 and 551,814

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Solution

The third proportional to 254,019 and 551,814 is: 1,198,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,019 : 551,814 = 551,814 : x
  2. Step 2: Convert to fraction form
    254,019/551,814 = 551,814/x
  3. Step 3: Cross multiply
    254,019x = 551,814 × 551,814
  4. Step 4: Simplify right side
    254,019x = 304,498,690,596
  5. Step 5: Solve for x
    x = 304,498,690,596/254,019
  6. Step 6: Final answer
    x = 1,198,724.07

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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.