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Finding the Third Proportional to 248,795 and 374,441

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Solution

The third proportional to 248,795 and 374,441 is: 563,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,795 : 374,441 = 374,441 : x
  2. Step 2: Convert to fraction form
    248,795/374,441 = 374,441/x
  3. Step 3: Cross multiply
    248,795x = 374,441 × 374,441
  4. Step 4: Simplify right side
    248,795x = 140,206,062,481
  5. Step 5: Solve for x
    x = 140,206,062,481/248,795
  6. Step 6: Final answer
    x = 563,540.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.