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Finding the Third Proportional to 251,032 and 551,822

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Solution

The third proportional to 251,032 and 551,822 is: 1,213,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,032 : 551,822 = 551,822 : x
  2. Step 2: Convert to fraction form
    251,032/551,822 = 551,822/x
  3. Step 3: Cross multiply
    251,032x = 551,822 × 551,822
  4. Step 4: Simplify right side
    251,032x = 304,507,519,684
  5. Step 5: Solve for x
    x = 304,507,519,684/251,032
  6. Step 6: Final answer
    x = 1,213,022.72

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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.