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Finding the Third Proportional to 419,053.50 and 932,958

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Solution

The third proportional to 419,053.50 and 932,958 is: 2,077,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,053.50 : 932,958 = 932,958 : x
  2. Step 2: Convert to fraction form
    419,053.50/932,958 = 932,958/x
  3. Step 3: Cross multiply
    419,053.50x = 932,958 × 932,958
  4. Step 4: Simplify right side
    419,053.50x = 870,410,629,764
  5. Step 5: Solve for x
    x = 870,410,629,764/419,053.50
  6. Step 6: Final answer
    x = 2,077,087.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.