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Finding the Third Proportional to 204,752 and 442,792

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Solution

The third proportional to 204,752 and 442,792 is: 957,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,752 : 442,792 = 442,792 : x
  2. Step 2: Convert to fraction form
    204,752/442,792 = 442,792/x
  3. Step 3: Cross multiply
    204,752x = 442,792 × 442,792
  4. Step 4: Simplify right side
    204,752x = 196,064,755,264
  5. Step 5: Solve for x
    x = 196,064,755,264/204,752
  6. Step 6: Final answer
    x = 957,571.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.