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Finding the Third Proportional to 187,840 and 442,977

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Solution

The third proportional to 187,840 and 442,977 is: 1,044,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,840 : 442,977 = 442,977 : x
  2. Step 2: Convert to fraction form
    187,840/442,977 = 442,977/x
  3. Step 3: Cross multiply
    187,840x = 442,977 × 442,977
  4. Step 4: Simplify right side
    187,840x = 196,228,622,529
  5. Step 5: Solve for x
    x = 196,228,622,529/187,840
  6. Step 6: Final answer
    x = 1,044,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.