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Finding the Third Proportional to 328,425.75 and 494,988.75

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Solution

The third proportional to 328,425.75 and 494,988.75 is: 746,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,425.75 : 494,988.75 = 494,988.75 : x
  2. Step 2: Convert to fraction form
    328,425.75/494,988.75 = 494,988.75/x
  3. Step 3: Cross multiply
    328,425.75x = 494,988.75 × 494,988.75
  4. Step 4: Simplify right side
    328,425.75x = 245,013,862,626.56
  5. Step 5: Solve for x
    x = 245,013,862,626.56/328,425.75
  6. Step 6: Final answer
    x = 746,025.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.