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Finding the Third Proportional to 264,860 and 340,077

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Solution

The third proportional to 264,860 and 340,077 is: 436,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,860 : 340,077 = 340,077 : x
  2. Step 2: Convert to fraction form
    264,860/340,077 = 340,077/x
  3. Step 3: Cross multiply
    264,860x = 340,077 × 340,077
  4. Step 4: Simplify right side
    264,860x = 115,652,365,929
  5. Step 5: Solve for x
    x = 115,652,365,929/264,860
  6. Step 6: Final answer
    x = 436,654.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.