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Finding the Third Proportional to 467,913.94 and 957,999.38

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Solution

The third proportional to 467,913.94 and 957,999.38 is: 1,961,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,913.94 : 957,999.38 = 957,999.38 : x
  2. Step 2: Convert to fraction form
    467,913.94/957,999.38 = 957,999.38/x
  3. Step 3: Cross multiply
    467,913.94x = 957,999.38 × 957,999.38
  4. Step 4: Simplify right side
    467,913.94x = 917,762,802,500.39
  5. Step 5: Solve for x
    x = 917,762,802,500.39/467,913.94
  6. Step 6: Final answer
    x = 1,961,392.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.