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Finding the Third Proportional to 251,330 and 551,044

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Solution

The third proportional to 251,330 and 551,044 is: 1,208,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,330 : 551,044 = 551,044 : x
  2. Step 2: Convert to fraction form
    251,330/551,044 = 551,044/x
  3. Step 3: Cross multiply
    251,330x = 551,044 × 551,044
  4. Step 4: Simplify right side
    251,330x = 303,649,489,936
  5. Step 5: Solve for x
    x = 303,649,489,936/251,330
  6. Step 6: Final answer
    x = 1,208,170.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.