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Finding the Third Proportional to 259,491.09 and 561,628.69

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Solution

The third proportional to 259,491.09 and 561,628.69 is: 1,215,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,491.09 : 561,628.69 = 561,628.69 : x
  2. Step 2: Convert to fraction form
    259,491.09/561,628.69 = 561,628.69/x
  3. Step 3: Cross multiply
    259,491.09x = 561,628.69 × 561,628.69
  4. Step 4: Simplify right side
    259,491.09x = 315,426,782,622.97
  5. Step 5: Solve for x
    x = 315,426,782,622.97/259,491.09
  6. Step 6: Final answer
    x = 1,215,559.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.