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Finding the Third Proportional to 533,206 and 847,977

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Solution

The third proportional to 533,206 and 847,977 is: 1,348,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,206 : 847,977 = 847,977 : x
  2. Step 2: Convert to fraction form
    533,206/847,977 = 847,977/x
  3. Step 3: Cross multiply
    533,206x = 847,977 × 847,977
  4. Step 4: Simplify right side
    533,206x = 719,064,992,529
  5. Step 5: Solve for x
    x = 719,064,992,529/533,206
  6. Step 6: Final answer
    x = 1,348,568.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.