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Finding the Third Proportional to 256,912 and 395,196

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Solution

The third proportional to 256,912 and 395,196 is: 607,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,912 : 395,196 = 395,196 : x
  2. Step 2: Convert to fraction form
    256,912/395,196 = 395,196/x
  3. Step 3: Cross multiply
    256,912x = 395,196 × 395,196
  4. Step 4: Simplify right side
    256,912x = 156,179,878,416
  5. Step 5: Solve for x
    x = 156,179,878,416/256,912
  6. Step 6: Final answer
    x = 607,911.96

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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.