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Finding the Third Proportional to 262,928.25 and 575,610.75

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Solution

The third proportional to 262,928.25 and 575,610.75 is: 1,260,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,928.25 : 575,610.75 = 575,610.75 : x
  2. Step 2: Convert to fraction form
    262,928.25/575,610.75 = 575,610.75/x
  3. Step 3: Cross multiply
    262,928.25x = 575,610.75 × 575,610.75
  4. Step 4: Simplify right side
    262,928.25x = 331,327,735,515.56
  5. Step 5: Solve for x
    x = 331,327,735,515.56/262,928.25
  6. Step 6: Final answer
    x = 1,260,145.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.