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Finding the Third Proportional to 214,693 and 323,497

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Solution

The third proportional to 214,693 and 323,497 is: 487,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,693 : 323,497 = 323,497 : x
  2. Step 2: Convert to fraction form
    214,693/323,497 = 323,497/x
  3. Step 3: Cross multiply
    214,693x = 323,497 × 323,497
  4. Step 4: Simplify right side
    214,693x = 104,650,309,009
  5. Step 5: Solve for x
    x = 104,650,309,009/214,693
  6. Step 6: Final answer
    x = 487,441.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.