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Finding the Third Proportional to 267,234 and 429,813

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Solution

The third proportional to 267,234 and 429,813 is: 691,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,234 : 429,813 = 429,813 : x
  2. Step 2: Convert to fraction form
    267,234/429,813 = 429,813/x
  3. Step 3: Cross multiply
    267,234x = 429,813 × 429,813
  4. Step 4: Simplify right side
    267,234x = 184,739,214,969
  5. Step 5: Solve for x
    x = 184,739,214,969/267,234
  6. Step 6: Final answer
    x = 691,301.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.