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Finding the Third Proportional to 327,936 and 707,532

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Solution

The third proportional to 327,936 and 707,532 is: 1,526,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,936 : 707,532 = 707,532 : x
  2. Step 2: Convert to fraction form
    327,936/707,532 = 707,532/x
  3. Step 3: Cross multiply
    327,936x = 707,532 × 707,532
  4. Step 4: Simplify right side
    327,936x = 500,601,531,024
  5. Step 5: Solve for x
    x = 500,601,531,024/327,936
  6. Step 6: Final answer
    x = 1,526,522.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.