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Finding the Third Proportional to 252,544 and 561,144

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Solution

The third proportional to 252,544 and 561,144 is: 1,246,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,544 : 561,144 = 561,144 : x
  2. Step 2: Convert to fraction form
    252,544/561,144 = 561,144/x
  3. Step 3: Cross multiply
    252,544x = 561,144 × 561,144
  4. Step 4: Simplify right side
    252,544x = 314,882,588,736
  5. Step 5: Solve for x
    x = 314,882,588,736/252,544
  6. Step 6: Final answer
    x = 1,246,842.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.