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Finding the Third Proportional to 262,380.94 and 561,236.63

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Solution

The third proportional to 262,380.94 and 561,236.63 is: 1,200,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,380.94 : 561,236.63 = 561,236.63 : x
  2. Step 2: Convert to fraction form
    262,380.94/561,236.63 = 561,236.63/x
  3. Step 3: Cross multiply
    262,380.94x = 561,236.63 × 561,236.63
  4. Step 4: Simplify right side
    262,380.94x = 314,986,549,241.39
  5. Step 5: Solve for x
    x = 314,986,549,241.39/262,380.94
  6. Step 6: Final answer
    x = 1,200,493.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.