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Finding the Third Proportional to 272,456 and 593,957

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Solution

The third proportional to 272,456 and 593,957 is: 1,294,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,456 : 593,957 = 593,957 : x
  2. Step 2: Convert to fraction form
    272,456/593,957 = 593,957/x
  3. Step 3: Cross multiply
    272,456x = 593,957 × 593,957
  4. Step 4: Simplify right side
    272,456x = 352,784,917,849
  5. Step 5: Solve for x
    x = 352,784,917,849/272,456
  6. Step 6: Final answer
    x = 1,294,832.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.