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Finding the Third Proportional to 429,996 and 667,167

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Solution

The third proportional to 429,996 and 667,167 is: 1,035,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,996 : 667,167 = 667,167 : x
  2. Step 2: Convert to fraction form
    429,996/667,167 = 667,167/x
  3. Step 3: Cross multiply
    429,996x = 667,167 × 667,167
  4. Step 4: Simplify right side
    429,996x = 445,111,805,889
  5. Step 5: Solve for x
    x = 445,111,805,889/429,996
  6. Step 6: Final answer
    x = 1,035,153.36

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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.