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Finding the Third Proportional to 273,270 and 593,820

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Solution

The third proportional to 273,270 and 593,820 is: 1,290,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,270 : 593,820 = 593,820 : x
  2. Step 2: Convert to fraction form
    273,270/593,820 = 593,820/x
  3. Step 3: Cross multiply
    273,270x = 593,820 × 593,820
  4. Step 4: Simplify right side
    273,270x = 352,622,192,400
  5. Step 5: Solve for x
    x = 352,622,192,400/273,270
  6. Step 6: Final answer
    x = 1,290,380.18

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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.