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Finding the Third Proportional to 388,008 and 598,626

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Solution

The third proportional to 388,008 and 598,626 is: 923,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,008 : 598,626 = 598,626 : x
  2. Step 2: Convert to fraction form
    388,008/598,626 = 598,626/x
  3. Step 3: Cross multiply
    388,008x = 598,626 × 598,626
  4. Step 4: Simplify right side
    388,008x = 358,353,087,876
  5. Step 5: Solve for x
    x = 358,353,087,876/388,008
  6. Step 6: Final answer
    x = 923,571.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.