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Finding the Third Proportional to 313,773 and 644,232

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Solution

The third proportional to 313,773 and 644,232 is: 1,322,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773 : 644,232 = 644,232 : x
  2. Step 2: Convert to fraction form
    313,773/644,232 = 644,232/x
  3. Step 3: Cross multiply
    313,773x = 644,232 × 644,232
  4. Step 4: Simplify right side
    313,773x = 415,034,869,824
  5. Step 5: Solve for x
    x = 415,034,869,824/313,773
  6. Step 6: Final answer
    x = 1,322,723.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.