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Finding the Third Proportional to 267,955 and 414,715

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Solution

The third proportional to 267,955 and 414,715 is: 641,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,955 : 414,715 = 414,715 : x
  2. Step 2: Convert to fraction form
    267,955/414,715 = 414,715/x
  3. Step 3: Cross multiply
    267,955x = 414,715 × 414,715
  4. Step 4: Simplify right side
    267,955x = 171,988,531,225
  5. Step 5: Solve for x
    x = 171,988,531,225/267,955
  6. Step 6: Final answer
    x = 641,856.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.