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Finding the Third Proportional to 272,462 and 593,966

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Solution

The third proportional to 272,462 and 593,966 is: 1,294,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,462 : 593,966 = 593,966 : x
  2. Step 2: Convert to fraction form
    272,462/593,966 = 593,966/x
  3. Step 3: Cross multiply
    272,462x = 593,966 × 593,966
  4. Step 4: Simplify right side
    272,462x = 352,795,609,156
  5. Step 5: Solve for x
    x = 352,795,609,156/272,462
  6. Step 6: Final answer
    x = 1,294,843.35

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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.