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Finding the Third Proportional to 398,975.63 and 613,230.75

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Solution

The third proportional to 398,975.63 and 613,230.75 is: 942,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,975.63 : 613,230.75 = 613,230.75 : x
  2. Step 2: Convert to fraction form
    398,975.63/613,230.75 = 613,230.75/x
  3. Step 3: Cross multiply
    398,975.63x = 613,230.75 × 613,230.75
  4. Step 4: Simplify right side
    398,975.63x = 376,051,952,745.56
  5. Step 5: Solve for x
    x = 376,051,952,745.56/398,975.63
  6. Step 6: Final answer
    x = 942,543.68

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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.