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Finding the Third Proportional to 571,419 and 854,325

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Solution

The third proportional to 571,419 and 854,325 is: 1,277,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,419 : 854,325 = 854,325 : x
  2. Step 2: Convert to fraction form
    571,419/854,325 = 854,325/x
  3. Step 3: Cross multiply
    571,419x = 854,325 × 854,325
  4. Step 4: Simplify right side
    571,419x = 729,871,205,625
  5. Step 5: Solve for x
    x = 729,871,205,625/571,419
  6. Step 6: Final answer
    x = 1,277,296.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.