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Finding the Third Proportional to 388,232 and 854,512

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Solution

The third proportional to 388,232 and 854,512 is: 1,880,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,232 : 854,512 = 854,512 : x
  2. Step 2: Convert to fraction form
    388,232/854,512 = 854,512/x
  3. Step 3: Cross multiply
    388,232x = 854,512 × 854,512
  4. Step 4: Simplify right side
    388,232x = 730,190,758,144
  5. Step 5: Solve for x
    x = 730,190,758,144/388,232
  6. Step 6: Final answer
    x = 1,880,810.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.