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Finding the Third Proportional to 647,910 and 729,103.50

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Solution

The third proportional to 647,910 and 729,103.50 is: 820,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,910 : 729,103.50 = 729,103.50 : x
  2. Step 2: Convert to fraction form
    647,910/729,103.50 = 729,103.50/x
  3. Step 3: Cross multiply
    647,910x = 729,103.50 × 729,103.50
  4. Step 4: Simplify right side
    647,910x = 531,591,913,712.25
  5. Step 5: Solve for x
    x = 531,591,913,712.25/647,910
  6. Step 6: Final answer
    x = 820,471.85

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.