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Finding the Third Proportional to 411,837.75 and 755,331.75

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Solution

The third proportional to 411,837.75 and 755,331.75 is: 1,385,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,837.75 : 755,331.75 = 755,331.75 : x
  2. Step 2: Convert to fraction form
    411,837.75/755,331.75 = 755,331.75/x
  3. Step 3: Cross multiply
    411,837.75x = 755,331.75 × 755,331.75
  4. Step 4: Simplify right side
    411,837.75x = 570,526,052,558.06
  5. Step 5: Solve for x
    x = 570,526,052,558.06/411,837.75
  6. Step 6: Final answer
    x = 1,385,317.53

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.