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Finding the Third Proportional to 328,974.75 and 523,405.13

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Solution

The third proportional to 328,974.75 and 523,405.13 is: 832,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,974.75 : 523,405.13 = 523,405.13 : x
  2. Step 2: Convert to fraction form
    328,974.75/523,405.13 = 523,405.13/x
  3. Step 3: Cross multiply
    328,974.75x = 523,405.13 × 523,405.13
  4. Step 4: Simplify right side
    328,974.75x = 273,952,924,876.27
  5. Step 5: Solve for x
    x = 273,952,924,876.27/328,974.75
  6. Step 6: Final answer
    x = 832,747.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.