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Finding the Third Proportional to 256,893 and 395,343

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Solution

The third proportional to 256,893 and 395,343 is: 608,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,893 : 395,343 = 395,343 : x
  2. Step 2: Convert to fraction form
    256,893/395,343 = 395,343/x
  3. Step 3: Cross multiply
    256,893x = 395,343 × 395,343
  4. Step 4: Simplify right side
    256,893x = 156,296,087,649
  5. Step 5: Solve for x
    x = 156,296,087,649/256,893
  6. Step 6: Final answer
    x = 608,409.29

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