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Finding the Third Proportional to 233,832 and 515,328

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Solution

The third proportional to 233,832 and 515,328 is: 1,135,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832 : 515,328 = 515,328 : x
  2. Step 2: Convert to fraction form
    233,832/515,328 = 515,328/x
  3. Step 3: Cross multiply
    233,832x = 515,328 × 515,328
  4. Step 4: Simplify right side
    233,832x = 265,562,947,584
  5. Step 5: Solve for x
    x = 265,562,947,584/233,832
  6. Step 6: Final answer
    x = 1,135,699.77

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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.