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Finding the Third Proportional to 248,918 and 377,993

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Solution

The third proportional to 248,918 and 377,993 is: 573,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,918 : 377,993 = 377,993 : x
  2. Step 2: Convert to fraction form
    248,918/377,993 = 377,993/x
  3. Step 3: Cross multiply
    248,918x = 377,993 × 377,993
  4. Step 4: Simplify right side
    248,918x = 142,878,708,049
  5. Step 5: Solve for x
    x = 142,878,708,049/248,918
  6. Step 6: Final answer
    x = 573,999.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.