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Finding the Third Proportional to 435,795.75 and 941,616.38

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Solution

The third proportional to 435,795.75 and 941,616.38 is: 2,034,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,795.75 : 941,616.38 = 941,616.38 : x
  2. Step 2: Convert to fraction form
    435,795.75/941,616.38 = 941,616.38/x
  3. Step 3: Cross multiply
    435,795.75x = 941,616.38 × 941,616.38
  4. Step 4: Simplify right side
    435,795.75x = 886,641,397,668.14
  5. Step 5: Solve for x
    x = 886,641,397,668.14/435,795.75
  6. Step 6: Final answer
    x = 2,034,534.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.