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Finding the Third Proportional to 208,976 and 493,232

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Solution

The third proportional to 208,976 and 493,232 is: 1,164,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,976 : 493,232 = 493,232 : x
  2. Step 2: Convert to fraction form
    208,976/493,232 = 493,232/x
  3. Step 3: Cross multiply
    208,976x = 493,232 × 493,232
  4. Step 4: Simplify right side
    208,976x = 243,277,805,824
  5. Step 5: Solve for x
    x = 243,277,805,824/208,976
  6. Step 6: Final answer
    x = 1,164,142.32

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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.