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Finding the Third Proportional to 215,796 and 326,693

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Solution

The third proportional to 215,796 and 326,693 is: 494,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,796 : 326,693 = 326,693 : x
  2. Step 2: Convert to fraction form
    215,796/326,693 = 326,693/x
  3. Step 3: Cross multiply
    215,796x = 326,693 × 326,693
  4. Step 4: Simplify right side
    215,796x = 106,728,316,249
  5. Step 5: Solve for x
    x = 106,728,316,249/215,796
  6. Step 6: Final answer
    x = 494,579.68

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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.