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Finding the Third Proportional to 270,080 and 588,756

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Solution

The third proportional to 270,080 and 588,756 is: 1,283,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,080 : 588,756 = 588,756 : x
  2. Step 2: Convert to fraction form
    270,080/588,756 = 588,756/x
  3. Step 3: Cross multiply
    270,080x = 588,756 × 588,756
  4. Step 4: Simplify right side
    270,080x = 346,633,627,536
  5. Step 5: Solve for x
    x = 346,633,627,536/270,080
  6. Step 6: Final answer
    x = 1,283,447.97

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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.