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Finding the Third Proportional to 414,072 and 880,632

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Solution

The third proportional to 414,072 and 880,632 is: 1,872,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,072 : 880,632 = 880,632 : x
  2. Step 2: Convert to fraction form
    414,072/880,632 = 880,632/x
  3. Step 3: Cross multiply
    414,072x = 880,632 × 880,632
  4. Step 4: Simplify right side
    414,072x = 775,512,719,424
  5. Step 5: Solve for x
    x = 775,512,719,424/414,072
  6. Step 6: Final answer
    x = 1,872,893.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.