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Finding the Third Proportional to 445,297.50 and 906,147

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Solution

The third proportional to 445,297.50 and 906,147 is: 1,843,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,297.50 : 906,147 = 906,147 : x
  2. Step 2: Convert to fraction form
    445,297.50/906,147 = 906,147/x
  3. Step 3: Cross multiply
    445,297.50x = 906,147 × 906,147
  4. Step 4: Simplify right side
    445,297.50x = 821,102,385,609
  5. Step 5: Solve for x
    x = 821,102,385,609/445,297.50
  6. Step 6: Final answer
    x = 1,843,941.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.