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Finding the Third Proportional to 248,514 and 395,235

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Solution

The third proportional to 248,514 and 395,235 is: 628,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,514 : 395,235 = 395,235 : x
  2. Step 2: Convert to fraction form
    248,514/395,235 = 395,235/x
  3. Step 3: Cross multiply
    248,514x = 395,235 × 395,235
  4. Step 4: Simplify right side
    248,514x = 156,210,705,225
  5. Step 5: Solve for x
    x = 156,210,705,225/248,514
  6. Step 6: Final answer
    x = 628,579.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.