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Finding the Third Proportional to 251,019 and 551,792.25

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Solution

The third proportional to 251,019 and 551,792.25 is: 1,212,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,019 : 551,792.25 = 551,792.25 : x
  2. Step 2: Convert to fraction form
    251,019/551,792.25 = 551,792.25/x
  3. Step 3: Cross multiply
    251,019x = 551,792.25 × 551,792.25
  4. Step 4: Simplify right side
    251,019x = 304,474,687,160.06
  5. Step 5: Solve for x
    x = 304,474,687,160.06/251,019
  6. Step 6: Final answer
    x = 1,212,954.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.