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Finding the Third Proportional to 254,001 and 542,993

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Solution

The third proportional to 254,001 and 542,993 is: 1,160,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,001 : 542,993 = 542,993 : x
  2. Step 2: Convert to fraction form
    254,001/542,993 = 542,993/x
  3. Step 3: Cross multiply
    254,001x = 542,993 × 542,993
  4. Step 4: Simplify right side
    254,001x = 294,841,398,049
  5. Step 5: Solve for x
    x = 294,841,398,049/254,001
  6. Step 6: Final answer
    x = 1,160,788.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.