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Finding the Third Proportional to 272,608 and 413,832

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Solution

The third proportional to 272,608 and 413,832 is: 628,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,608 : 413,832 = 413,832 : x
  2. Step 2: Convert to fraction form
    272,608/413,832 = 413,832/x
  3. Step 3: Cross multiply
    272,608x = 413,832 × 413,832
  4. Step 4: Simplify right side
    272,608x = 171,256,924,224
  5. Step 5: Solve for x
    x = 171,256,924,224/272,608
  6. Step 6: Final answer
    x = 628,216.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.