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Finding the Third Proportional to 262,936.50 and 574,504.50

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Solution

The third proportional to 262,936.50 and 574,504.50 is: 1,255,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,936.50 : 574,504.50 = 574,504.50 : x
  2. Step 2: Convert to fraction form
    262,936.50/574,504.50 = 574,504.50/x
  3. Step 3: Cross multiply
    262,936.50x = 574,504.50 × 574,504.50
  4. Step 4: Simplify right side
    262,936.50x = 330,055,420,520.25
  5. Step 5: Solve for x
    x = 330,055,420,520.25/262,936.50
  6. Step 6: Final answer
    x = 1,255,266.65

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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.