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Finding the Third Proportional to 254,187 and 501,996

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Solution

The third proportional to 254,187 and 501,996 is: 991,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,187 : 501,996 = 501,996 : x
  2. Step 2: Convert to fraction form
    254,187/501,996 = 501,996/x
  3. Step 3: Cross multiply
    254,187x = 501,996 × 501,996
  4. Step 4: Simplify right side
    254,187x = 251,999,984,016
  5. Step 5: Solve for x
    x = 251,999,984,016/254,187
  6. Step 6: Final answer
    x = 991,396.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.