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Finding the Third Proportional to 248,354 and 552,923

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Solution

The third proportional to 248,354 and 552,923 is: 1,231,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,354 : 552,923 = 552,923 : x
  2. Step 2: Convert to fraction form
    248,354/552,923 = 552,923/x
  3. Step 3: Cross multiply
    248,354x = 552,923 × 552,923
  4. Step 4: Simplify right side
    248,354x = 305,723,843,929
  5. Step 5: Solve for x
    x = 305,723,843,929/248,354
  6. Step 6: Final answer
    x = 1,231,000.28

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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.