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Finding the Third Proportional to 270,213 and 588,000

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Solution

The third proportional to 270,213 and 588,000 is: 1,279,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213 : 588,000 = 588,000 : x
  2. Step 2: Convert to fraction form
    270,213/588,000 = 588,000/x
  3. Step 3: Cross multiply
    270,213x = 588,000 × 588,000
  4. Step 4: Simplify right side
    270,213x = 345,744,000,000
  5. Step 5: Solve for x
    x = 345,744,000,000/270,213
  6. Step 6: Final answer
    x = 1,279,523.93

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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.