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Finding the Third Proportional to 533,713.50 and 811,568.25

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Solution

The third proportional to 533,713.50 and 811,568.25 is: 1,234,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,713.50 : 811,568.25 = 811,568.25 : x
  2. Step 2: Convert to fraction form
    533,713.50/811,568.25 = 811,568.25/x
  3. Step 3: Cross multiply
    533,713.50x = 811,568.25 × 811,568.25
  4. Step 4: Simplify right side
    533,713.50x = 658,643,024,408.06
  5. Step 5: Solve for x
    x = 658,643,024,408.06/533,713.50
  6. Step 6: Final answer
    x = 1,234,076.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.