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Finding the Third Proportional to 270,364 and 588,296

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Solution

The third proportional to 270,364 and 588,296 is: 1,280,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,364 : 588,296 = 588,296 : x
  2. Step 2: Convert to fraction form
    270,364/588,296 = 588,296/x
  3. Step 3: Cross multiply
    270,364x = 588,296 × 588,296
  4. Step 4: Simplify right side
    270,364x = 346,092,183,616
  5. Step 5: Solve for x
    x = 346,092,183,616/270,364
  6. Step 6: Final answer
    x = 1,280,097.14

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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.