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Finding the Third Proportional to 187,846 and 442,980

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Solution

The third proportional to 187,846 and 442,980 is: 1,044,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,846 : 442,980 = 442,980 : x
  2. Step 2: Convert to fraction form
    187,846/442,980 = 442,980/x
  3. Step 3: Cross multiply
    187,846x = 442,980 × 442,980
  4. Step 4: Simplify right side
    187,846x = 196,231,280,400
  5. Step 5: Solve for x
    x = 196,231,280,400/187,846
  6. Step 6: Final answer
    x = 1,044,639.12

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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.