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Finding the Third Proportional to 323,620 and 700,232

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Solution

The third proportional to 323,620 and 700,232 is: 1,515,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,620 : 700,232 = 700,232 : x
  2. Step 2: Convert to fraction form
    323,620/700,232 = 700,232/x
  3. Step 3: Cross multiply
    323,620x = 700,232 × 700,232
  4. Step 4: Simplify right side
    323,620x = 490,324,853,824
  5. Step 5: Solve for x
    x = 490,324,853,824/323,620
  6. Step 6: Final answer
    x = 1,515,125.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.