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Finding the Third Proportional to 416,329.03 and 865,383.75

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Solution

The third proportional to 416,329.03 and 865,383.75 is: 1,798,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,329.03 : 865,383.75 = 865,383.75 : x
  2. Step 2: Convert to fraction form
    416,329.03/865,383.75 = 865,383.75/x
  3. Step 3: Cross multiply
    416,329.03x = 865,383.75 × 865,383.75
  4. Step 4: Simplify right side
    416,329.03x = 748,889,034,764.06
  5. Step 5: Solve for x
    x = 748,889,034,764.06/416,329.03
  6. Step 6: Final answer
    x = 1,798,791.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.