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Finding the Third Proportional to 328,428 and 494,100

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Solution

The third proportional to 328,428 and 494,100 is: 743,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,428 : 494,100 = 494,100 : x
  2. Step 2: Convert to fraction form
    328,428/494,100 = 494,100/x
  3. Step 3: Cross multiply
    328,428x = 494,100 × 494,100
  4. Step 4: Simplify right side
    328,428x = 244,134,810,000
  5. Step 5: Solve for x
    x = 244,134,810,000/328,428
  6. Step 6: Final answer
    x = 743,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.