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Finding the Third Proportional to 512,777.25 and 1,104,401.25

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Solution

The third proportional to 512,777.25 and 1,104,401.25 is: 2,378,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,777.25 : 1,104,401.25 = 1,104,401.25 : x
  2. Step 2: Convert to fraction form
    512,777.25/1,104,401.25 = 1,104,401.25/x
  3. Step 3: Cross multiply
    512,777.25x = 1,104,401.25 × 1,104,401.25
  4. Step 4: Simplify right side
    512,777.25x = 1,219,702,121,001.56
  5. Step 5: Solve for x
    x = 1,219,702,121,001.56/512,777.25
  6. Step 6: Final answer
    x = 2,378,619.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.