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Finding the Third Proportional to 259,480.13 and 570,037.50

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Solution

The third proportional to 259,480.13 and 570,037.50 is: 1,252,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,480.13 : 570,037.50 = 570,037.50 : x
  2. Step 2: Convert to fraction form
    259,480.13/570,037.50 = 570,037.50/x
  3. Step 3: Cross multiply
    259,480.13x = 570,037.50 × 570,037.50
  4. Step 4: Simplify right side
    259,480.13x = 324,942,751,406.25
  5. Step 5: Solve for x
    x = 324,942,751,406.25/259,480.13
  6. Step 6: Final answer
    x = 1,252,283.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.