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Finding the Third Proportional to 241,035.75 and 524,945.81

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Solution

The third proportional to 241,035.75 and 524,945.81 is: 1,143,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,035.75 : 524,945.81 = 524,945.81 : x
  2. Step 2: Convert to fraction form
    241,035.75/524,945.81 = 524,945.81/x
  3. Step 3: Cross multiply
    241,035.75x = 524,945.81 × 524,945.81
  4. Step 4: Simplify right side
    241,035.75x = 275,568,106,061.29
  5. Step 5: Solve for x
    x = 275,568,106,061.29/241,035.75
  6. Step 6: Final answer
    x = 1,143,266.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.