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Finding the Third Proportional to 187,826 and 442,941

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Solution

The third proportional to 187,826 and 442,941 is: 1,044,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,826 : 442,941 = 442,941 : x
  2. Step 2: Convert to fraction form
    187,826/442,941 = 442,941/x
  3. Step 3: Cross multiply
    187,826x = 442,941 × 442,941
  4. Step 4: Simplify right side
    187,826x = 196,196,729,481
  5. Step 5: Solve for x
    x = 196,196,729,481/187,826
  6. Step 6: Final answer
    x = 1,044,566.40

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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.