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Finding the Third Proportional to 757,664.25 and 1,135,385.25

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Solution

The third proportional to 757,664.25 and 1,135,385.25 is: 1,701,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,664.25 : 1,135,385.25 = 1,135,385.25 : x
  2. Step 2: Convert to fraction form
    757,664.25/1,135,385.25 = 1,135,385.25/x
  3. Step 3: Cross multiply
    757,664.25x = 1,135,385.25 × 1,135,385.25
  4. Step 4: Simplify right side
    757,664.25x = 1,289,099,665,917.56
  5. Step 5: Solve for x
    x = 1,289,099,665,917.56/757,664.25
  6. Step 6: Final answer
    x = 1,701,412.82

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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.