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Finding the Third Proportional to 267,708 and 497,112

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Solution

The third proportional to 267,708 and 497,112 is: 923,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,708 : 497,112 = 497,112 : x
  2. Step 2: Convert to fraction form
    267,708/497,112 = 497,112/x
  3. Step 3: Cross multiply
    267,708x = 497,112 × 497,112
  4. Step 4: Simplify right side
    267,708x = 247,120,340,544
  5. Step 5: Solve for x
    x = 247,120,340,544/267,708
  6. Step 6: Final answer
    x = 923,096.58

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.