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Finding the Third Proportional to 407,893.50 and 874,815.75

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Solution

The third proportional to 407,893.50 and 874,815.75 is: 1,876,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,893.50 : 874,815.75 = 874,815.75 : x
  2. Step 2: Convert to fraction form
    407,893.50/874,815.75 = 874,815.75/x
  3. Step 3: Cross multiply
    407,893.50x = 874,815.75 × 874,815.75
  4. Step 4: Simplify right side
    407,893.50x = 765,302,596,448.06
  5. Step 5: Solve for x
    x = 765,302,596,448.06/407,893.50
  6. Step 6: Final answer
    x = 1,876,231.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.