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Finding the Third Proportional to 270,336 and 395,232

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Solution

The third proportional to 270,336 and 395,232 is: 577,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,336 : 395,232 = 395,232 : x
  2. Step 2: Convert to fraction form
    270,336/395,232 = 395,232/x
  3. Step 3: Cross multiply
    270,336x = 395,232 × 395,232
  4. Step 4: Simplify right side
    270,336x = 156,208,333,824
  5. Step 5: Solve for x
    x = 156,208,333,824/270,336
  6. Step 6: Final answer
    x = 577,830.31

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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.