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Finding the Third Proportional to 303,993 and 467,941.50

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Solution

The third proportional to 303,993 and 467,941.50 is: 720,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,993 : 467,941.50 = 467,941.50 : x
  2. Step 2: Convert to fraction form
    303,993/467,941.50 = 467,941.50/x
  3. Step 3: Cross multiply
    303,993x = 467,941.50 × 467,941.50
  4. Step 4: Simplify right side
    303,993x = 218,969,247,422.25
  5. Step 5: Solve for x
    x = 218,969,247,422.25/303,993
  6. Step 6: Final answer
    x = 720,310.16

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Why These Related Problems?

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