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Finding the Third Proportional to 405,542.25 and 836,788.50

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Solution

The third proportional to 405,542.25 and 836,788.50 is: 1,726,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,542.25 : 836,788.50 = 836,788.50 : x
  2. Step 2: Convert to fraction form
    405,542.25/836,788.50 = 836,788.50/x
  3. Step 3: Cross multiply
    405,542.25x = 836,788.50 × 836,788.50
  4. Step 4: Simplify right side
    405,542.25x = 700,214,993,732.25
  5. Step 5: Solve for x
    x = 700,214,993,732.25/405,542.25
  6. Step 6: Final answer
    x = 1,726,614.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.