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Finding the Third Proportional to 603,753.75 and 1,292,051.25

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Solution

The third proportional to 603,753.75 and 1,292,051.25 is: 2,765,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,753.75 : 1,292,051.25 = 1,292,051.25 : x
  2. Step 2: Convert to fraction form
    603,753.75/1,292,051.25 = 1,292,051.25/x
  3. Step 3: Cross multiply
    603,753.75x = 1,292,051.25 × 1,292,051.25
  4. Step 4: Simplify right side
    603,753.75x = 1,669,396,432,626.56
  5. Step 5: Solve for x
    x = 1,669,396,432,626.56/603,753.75
  6. Step 6: Final answer
    x = 2,765,028.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.