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Finding the Third Proportional to 256,824 and 395,260

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Solution

The third proportional to 256,824 and 395,260 is: 608,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824 : 395,260 = 395,260 : x
  2. Step 2: Convert to fraction form
    256,824/395,260 = 395,260/x
  3. Step 3: Cross multiply
    256,824x = 395,260 × 395,260
  4. Step 4: Simplify right side
    256,824x = 156,230,467,600
  5. Step 5: Solve for x
    x = 156,230,467,600/256,824
  6. Step 6: Final answer
    x = 608,317.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.