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Finding the Third Proportional to 272,882 and 593,467

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Solution

The third proportional to 272,882 and 593,467 is: 1,290,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,882 : 593,467 = 593,467 : x
  2. Step 2: Convert to fraction form
    272,882/593,467 = 593,467/x
  3. Step 3: Cross multiply
    272,882x = 593,467 × 593,467
  4. Step 4: Simplify right side
    272,882x = 352,203,080,089
  5. Step 5: Solve for x
    x = 352,203,080,089/272,882
  6. Step 6: Final answer
    x = 1,290,679.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.