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Finding the Third Proportional to 416,824 and 862,232

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Solution

The third proportional to 416,824 and 862,232 is: 1,783,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,824 : 862,232 = 862,232 : x
  2. Step 2: Convert to fraction form
    416,824/862,232 = 862,232/x
  3. Step 3: Cross multiply
    416,824x = 862,232 × 862,232
  4. Step 4: Simplify right side
    416,824x = 743,444,021,824
  5. Step 5: Solve for x
    x = 743,444,021,824/416,824
  6. Step 6: Final answer
    x = 1,783,592.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.