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Finding the Third Proportional to 327,061.13 and 701,416.13

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Solution

The third proportional to 327,061.13 and 701,416.13 is: 1,504,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,061.13 : 701,416.13 = 701,416.13 : x
  2. Step 2: Convert to fraction form
    327,061.13/701,416.13 = 701,416.13/x
  3. Step 3: Cross multiply
    327,061.13x = 701,416.13 × 701,416.13
  4. Step 4: Simplify right side
    327,061.13x = 491,984,580,410.02
  5. Step 5: Solve for x
    x = 491,984,580,410.02/327,061.13
  6. Step 6: Final answer
    x = 1,504,258.82

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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.