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Finding the Third Proportional to 250,920 and 552,384

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Solution

The third proportional to 250,920 and 552,384 is: 1,216,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,920 : 552,384 = 552,384 : x
  2. Step 2: Convert to fraction form
    250,920/552,384 = 552,384/x
  3. Step 3: Cross multiply
    250,920x = 552,384 × 552,384
  4. Step 4: Simplify right side
    250,920x = 305,128,083,456
  5. Step 5: Solve for x
    x = 305,128,083,456/250,920
  6. Step 6: Final answer
    x = 1,216,037.32

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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.