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Finding the Third Proportional to 515,962 and 743,181

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Solution

The third proportional to 515,962 and 743,181 is: 1,070,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,962 : 743,181 = 743,181 : x
  2. Step 2: Convert to fraction form
    515,962/743,181 = 743,181/x
  3. Step 3: Cross multiply
    515,962x = 743,181 × 743,181
  4. Step 4: Simplify right side
    515,962x = 552,317,998,761
  5. Step 5: Solve for x
    x = 552,317,998,761/515,962
  6. Step 6: Final answer
    x = 1,070,462.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.