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Finding the Third Proportional to 267,923 and 364,854

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Solution

The third proportional to 267,923 and 364,854 is: 496,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,923 : 364,854 = 364,854 : x
  2. Step 2: Convert to fraction form
    267,923/364,854 = 364,854/x
  3. Step 3: Cross multiply
    267,923x = 364,854 × 364,854
  4. Step 4: Simplify right side
    267,923x = 133,118,441,316
  5. Step 5: Solve for x
    x = 133,118,441,316/267,923
  6. Step 6: Final answer
    x = 496,853.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.