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Finding the Third Proportional to 512,388 and 770,232

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Solution

The third proportional to 512,388 and 770,232 is: 1,157,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,388 : 770,232 = 770,232 : x
  2. Step 2: Convert to fraction form
    512,388/770,232 = 770,232/x
  3. Step 3: Cross multiply
    512,388x = 770,232 × 770,232
  4. Step 4: Simplify right side
    512,388x = 593,257,333,824
  5. Step 5: Solve for x
    x = 593,257,333,824/512,388
  6. Step 6: Final answer
    x = 1,157,828.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.