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Finding the Third Proportional to 429,150 and 664,866

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Solution

The third proportional to 429,150 and 664,866 is: 1,030,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,150 : 664,866 = 664,866 : x
  2. Step 2: Convert to fraction form
    429,150/664,866 = 664,866/x
  3. Step 3: Cross multiply
    429,150x = 664,866 × 664,866
  4. Step 4: Simplify right side
    429,150x = 442,046,797,956
  5. Step 5: Solve for x
    x = 442,046,797,956/429,150
  6. Step 6: Final answer
    x = 1,030,051.96

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