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Finding the Third Proportional to 273,264 and 593,184

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Solution

The third proportional to 273,264 and 593,184 is: 1,287,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,264 : 593,184 = 593,184 : x
  2. Step 2: Convert to fraction form
    273,264/593,184 = 593,184/x
  3. Step 3: Cross multiply
    273,264x = 593,184 × 593,184
  4. Step 4: Simplify right side
    273,264x = 351,867,257,856
  5. Step 5: Solve for x
    x = 351,867,257,856/273,264
  6. Step 6: Final answer
    x = 1,287,645.86

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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.