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Finding the Third Proportional to 270,219 and 588,003

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Solution

The third proportional to 270,219 and 588,003 is: 1,279,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,219 : 588,003 = 588,003 : x
  2. Step 2: Convert to fraction form
    270,219/588,003 = 588,003/x
  3. Step 3: Cross multiply
    270,219x = 588,003 × 588,003
  4. Step 4: Simplify right side
    270,219x = 345,747,528,009
  5. Step 5: Solve for x
    x = 345,747,528,009/270,219
  6. Step 6: Final answer
    x = 1,279,508.58

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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.