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Finding the Third Proportional to 511,433 and 767,150

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Solution

The third proportional to 511,433 and 767,150 is: 1,150,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,433 : 767,150 = 767,150 : x
  2. Step 2: Convert to fraction form
    511,433/767,150 = 767,150/x
  3. Step 3: Cross multiply
    511,433x = 767,150 × 767,150
  4. Step 4: Simplify right side
    511,433x = 588,519,122,500
  5. Step 5: Solve for x
    x = 588,519,122,500/511,433
  6. Step 6: Final answer
    x = 1,150,725.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.