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Finding the Third Proportional to 446,052 and 667,129.50

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Solution

The third proportional to 446,052 and 667,129.50 is: 997,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,052 : 667,129.50 = 667,129.50 : x
  2. Step 2: Convert to fraction form
    446,052/667,129.50 = 667,129.50/x
  3. Step 3: Cross multiply
    446,052x = 667,129.50 × 667,129.50
  4. Step 4: Simplify right side
    446,052x = 445,061,769,770.25
  5. Step 5: Solve for x
    x = 445,061,769,770.25/446,052
  6. Step 6: Final answer
    x = 997,780.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.