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Finding the Third Proportional to 270,360 and 588,288

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Solution

The third proportional to 270,360 and 588,288 is: 1,280,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,360 : 588,288 = 588,288 : x
  2. Step 2: Convert to fraction form
    270,360/588,288 = 588,288/x
  3. Step 3: Cross multiply
    270,360x = 588,288 × 588,288
  4. Step 4: Simplify right side
    270,360x = 346,082,770,944
  5. Step 5: Solve for x
    x = 346,082,770,944/270,360
  6. Step 6: Final answer
    x = 1,280,081.27

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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.