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Finding the Third Proportional to 187,838 and 442,963

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Solution

The third proportional to 187,838 and 442,963 is: 1,044,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,838 : 442,963 = 442,963 : x
  2. Step 2: Convert to fraction form
    187,838/442,963 = 442,963/x
  3. Step 3: Cross multiply
    187,838x = 442,963 × 442,963
  4. Step 4: Simplify right side
    187,838x = 196,216,219,369
  5. Step 5: Solve for x
    x = 196,216,219,369/187,838
  6. Step 6: Final answer
    x = 1,044,603.43

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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.