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Finding the Third Proportional to 272,467 and 593,978

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Solution

The third proportional to 272,467 and 593,978 is: 1,294,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,467 : 593,978 = 593,978 : x
  2. Step 2: Convert to fraction form
    272,467/593,978 = 593,978/x
  3. Step 3: Cross multiply
    272,467x = 593,978 × 593,978
  4. Step 4: Simplify right side
    272,467x = 352,809,864,484
  5. Step 5: Solve for x
    x = 352,809,864,484/272,467
  6. Step 6: Final answer
    x = 1,294,871.91

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