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Finding the Third Proportional to 236,347.88 and 505,919.25

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Solution

The third proportional to 236,347.88 and 505,919.25 is: 1,082,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,347.88 : 505,919.25 = 505,919.25 : x
  2. Step 2: Convert to fraction form
    236,347.88/505,919.25 = 505,919.25/x
  3. Step 3: Cross multiply
    236,347.88x = 505,919.25 × 505,919.25
  4. Step 4: Simplify right side
    236,347.88x = 255,954,287,520.56
  5. Step 5: Solve for x
    x = 255,954,287,520.56/236,347.88
  6. Step 6: Final answer
    x = 1,082,955.74

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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.