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Finding the Third Proportional to 327,031 and 701,344

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Solution

The third proportional to 327,031 and 701,344 is: 1,504,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,031 : 701,344 = 701,344 : x
  2. Step 2: Convert to fraction form
    327,031/701,344 = 701,344/x
  3. Step 3: Cross multiply
    327,031x = 701,344 × 701,344
  4. Step 4: Simplify right side
    327,031x = 491,883,406,336
  5. Step 5: Solve for x
    x = 491,883,406,336/327,031
  6. Step 6: Final answer
    x = 1,504,088.01

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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.