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Finding the Third Proportional to 244,476 and 327,069

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Solution

The third proportional to 244,476 and 327,069 is: 437,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,476 : 327,069 = 327,069 : x
  2. Step 2: Convert to fraction form
    244,476/327,069 = 327,069/x
  3. Step 3: Cross multiply
    244,476x = 327,069 × 327,069
  4. Step 4: Simplify right side
    244,476x = 106,974,130,761
  5. Step 5: Solve for x
    x = 106,974,130,761/244,476
  6. Step 6: Final answer
    x = 437,564.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.