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Finding the Third Proportional to 262,407.94 and 541,378.69

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Solution

The third proportional to 262,407.94 and 541,378.69 is: 1,116,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,407.94 : 541,378.69 = 541,378.69 : x
  2. Step 2: Convert to fraction form
    262,407.94/541,378.69 = 541,378.69/x
  3. Step 3: Cross multiply
    262,407.94x = 541,378.69 × 541,378.69
  4. Step 4: Simplify right side
    262,407.94x = 293,090,883,279.22
  5. Step 5: Solve for x
    x = 293,090,883,279.22/262,407.94
  6. Step 6: Final answer
    x = 1,116,928.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.