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Finding the Third Proportional to 259,448.06 and 569,974.22

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Solution

The third proportional to 259,448.06 and 569,974.22 is: 1,252,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,448.06 : 569,974.22 = 569,974.22 : x
  2. Step 2: Convert to fraction form
    259,448.06/569,974.22 = 569,974.22/x
  3. Step 3: Cross multiply
    259,448.06x = 569,974.22 × 569,974.22
  4. Step 4: Simplify right side
    259,448.06x = 324,870,610,039.67
  5. Step 5: Solve for x
    x = 324,870,610,039.67/259,448.06
  6. Step 6: Final answer
    x = 1,252,160.48

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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.