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Finding the Third Proportional to 251,024 and 551,803

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Solution

The third proportional to 251,024 and 551,803 is: 1,212,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,024 : 551,803 = 551,803 : x
  2. Step 2: Convert to fraction form
    251,024/551,803 = 551,803/x
  3. Step 3: Cross multiply
    251,024x = 551,803 × 551,803
  4. Step 4: Simplify right side
    251,024x = 304,486,550,809
  5. Step 5: Solve for x
    x = 304,486,550,809/251,024
  6. Step 6: Final answer
    x = 1,212,977.85

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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.