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Finding the Third Proportional to 270,352 and 395,256

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Solution

The third proportional to 270,352 and 395,256 is: 577,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,352 : 395,256 = 395,256 : x
  2. Step 2: Convert to fraction form
    270,352/395,256 = 395,256/x
  3. Step 3: Cross multiply
    270,352x = 395,256 × 395,256
  4. Step 4: Simplify right side
    270,352x = 156,227,305,536
  5. Step 5: Solve for x
    x = 156,227,305,536/270,352
  6. Step 6: Final answer
    x = 577,866.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.