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Finding the Third Proportional to 267,967 and 574,787

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Solution

The third proportional to 267,967 and 574,787 is: 1,232,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,967 : 574,787 = 574,787 : x
  2. Step 2: Convert to fraction form
    267,967/574,787 = 574,787/x
  3. Step 3: Cross multiply
    267,967x = 574,787 × 574,787
  4. Step 4: Simplify right side
    267,967x = 330,380,095,369
  5. Step 5: Solve for x
    x = 330,380,095,369/267,967
  6. Step 6: Final answer
    x = 1,232,913.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.