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Finding the Third Proportional to 564,063 and 814,977

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Solution

The third proportional to 564,063 and 814,977 is: 1,177,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,063 : 814,977 = 814,977 : x
  2. Step 2: Convert to fraction form
    564,063/814,977 = 814,977/x
  3. Step 3: Cross multiply
    564,063x = 814,977 × 814,977
  4. Step 4: Simplify right side
    564,063x = 664,187,510,529
  5. Step 5: Solve for x
    x = 664,187,510,529/564,063
  6. Step 6: Final answer
    x = 1,177,505.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.