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Finding the Third Proportional to 533,560.50 and 820,023.75

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Solution

The third proportional to 533,560.50 and 820,023.75 is: 1,260,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,560.50 : 820,023.75 = 820,023.75 : x
  2. Step 2: Convert to fraction form
    533,560.50/820,023.75 = 820,023.75/x
  3. Step 3: Cross multiply
    533,560.50x = 820,023.75 × 820,023.75
  4. Step 4: Simplify right side
    533,560.50x = 672,438,950,564.06
  5. Step 5: Solve for x
    x = 672,438,950,564.06/533,560.50
  6. Step 6: Final answer
    x = 1,260,286.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.