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Finding the Third Proportional to 397,152 and 599,400

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Solution

The third proportional to 397,152 and 599,400 is: 904,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,152 : 599,400 = 599,400 : x
  2. Step 2: Convert to fraction form
    397,152/599,400 = 599,400/x
  3. Step 3: Cross multiply
    397,152x = 599,400 × 599,400
  4. Step 4: Simplify right side
    397,152x = 359,280,360,000
  5. Step 5: Solve for x
    x = 359,280,360,000/397,152
  6. Step 6: Final answer
    x = 904,641.95

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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.