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Finding the Third Proportional to 398,991 and 599,458.50

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Solution

The third proportional to 398,991 and 599,458.50 is: 900,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,991 : 599,458.50 = 599,458.50 : x
  2. Step 2: Convert to fraction form
    398,991/599,458.50 = 599,458.50/x
  3. Step 3: Cross multiply
    398,991x = 599,458.50 × 599,458.50
  4. Step 4: Simplify right side
    398,991x = 359,350,493,222.25
  5. Step 5: Solve for x
    x = 359,350,493,222.25/398,991
  6. Step 6: Final answer
    x = 900,648.12

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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.