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Finding the Third Proportional to 533,749.50 and 825,567.19

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Solution

The third proportional to 533,749.50 and 825,567.19 is: 1,276,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,749.50 : 825,567.19 = 825,567.19 : x
  2. Step 2: Convert to fraction form
    533,749.50/825,567.19 = 825,567.19/x
  3. Step 3: Cross multiply
    533,749.50x = 825,567.19 × 825,567.19
  4. Step 4: Simplify right side
    533,749.50x = 681,561,181,076.66
  5. Step 5: Solve for x
    x = 681,561,181,076.66/533,749.50
  6. Step 6: Final answer
    x = 1,276,930.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.