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Finding the Third Proportional to 270,085 and 588,766

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Solution

The third proportional to 270,085 and 588,766 is: 1,283,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,085 : 588,766 = 588,766 : x
  2. Step 2: Convert to fraction form
    270,085/588,766 = 588,766/x
  3. Step 3: Cross multiply
    270,085x = 588,766 × 588,766
  4. Step 4: Simplify right side
    270,085x = 346,645,402,756
  5. Step 5: Solve for x
    x = 346,645,402,756/270,085
  6. Step 6: Final answer
    x = 1,283,467.81

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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.