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Finding the Third Proportional to 248,330 and 552,868

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Solution

The third proportional to 248,330 and 552,868 is: 1,230,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,330 : 552,868 = 552,868 : x
  2. Step 2: Convert to fraction form
    248,330/552,868 = 552,868/x
  3. Step 3: Cross multiply
    248,330x = 552,868 × 552,868
  4. Step 4: Simplify right side
    248,330x = 305,663,025,424
  5. Step 5: Solve for x
    x = 305,663,025,424/248,330
  6. Step 6: Final answer
    x = 1,230,874.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.