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Finding the Third Proportional to 511,408 and 767,112

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Solution

The third proportional to 511,408 and 767,112 is: 1,150,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,408 : 767,112 = 767,112 : x
  2. Step 2: Convert to fraction form
    511,408/767,112 = 767,112/x
  3. Step 3: Cross multiply
    511,408x = 767,112 × 767,112
  4. Step 4: Simplify right side
    511,408x = 588,460,820,544
  5. Step 5: Solve for x
    x = 588,460,820,544/511,408
  6. Step 6: Final answer
    x = 1,150,668

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Why These Related Problems?

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