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Finding the Third Proportional to 397,184.50 and 599,485

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Solution

The third proportional to 397,184.50 and 599,485 is: 904,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,184.50 : 599,485 = 599,485 : x
  2. Step 2: Convert to fraction form
    397,184.50/599,485 = 599,485/x
  3. Step 3: Cross multiply
    397,184.50x = 599,485 × 599,485
  4. Step 4: Simplify right side
    397,184.50x = 359,382,265,225
  5. Step 5: Solve for x
    x = 359,382,265,225/397,184.50
  6. Step 6: Final answer
    x = 904,824.50

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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.