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Finding the Third Proportional to 323,152 and 691,232

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Solution

The third proportional to 323,152 and 691,232 is: 1,478,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,152 : 691,232 = 691,232 : x
  2. Step 2: Convert to fraction form
    323,152/691,232 = 691,232/x
  3. Step 3: Cross multiply
    323,152x = 691,232 × 691,232
  4. Step 4: Simplify right side
    323,152x = 477,801,677,824
  5. Step 5: Solve for x
    x = 477,801,677,824/323,152
  6. Step 6: Final answer
    x = 1,478,566.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.