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Finding the Third Proportional to 183,433 and 397,399

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Solution

The third proportional to 183,433 and 397,399 is: 860,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,433 : 397,399 = 397,399 : x
  2. Step 2: Convert to fraction form
    183,433/397,399 = 397,399/x
  3. Step 3: Cross multiply
    183,433x = 397,399 × 397,399
  4. Step 4: Simplify right side
    183,433x = 157,925,965,201
  5. Step 5: Solve for x
    x = 157,925,965,201/183,433
  6. Step 6: Final answer
    x = 860,946.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.