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Finding the Third Proportional to 327,190.13 and 692,104.13

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Solution

The third proportional to 327,190.13 and 692,104.13 is: 1,464,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,190.13 : 692,104.13 = 692,104.13 : x
  2. Step 2: Convert to fraction form
    327,190.13/692,104.13 = 692,104.13/x
  3. Step 3: Cross multiply
    327,190.13x = 692,104.13 × 692,104.13
  4. Step 4: Simplify right side
    327,190.13x = 479,008,119,842.02
  5. Step 5: Solve for x
    x = 479,008,119,842.02/327,190.13
  6. Step 6: Final answer
    x = 1,464,005.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.