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Finding the Third Proportional to 414,632 and 855,432

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Solution

The third proportional to 414,632 and 855,432 is: 1,764,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,632 : 855,432 = 855,432 : x
  2. Step 2: Convert to fraction form
    414,632/855,432 = 855,432/x
  3. Step 3: Cross multiply
    414,632x = 855,432 × 855,432
  4. Step 4: Simplify right side
    414,632x = 731,763,906,624
  5. Step 5: Solve for x
    x = 731,763,906,624/414,632
  6. Step 6: Final answer
    x = 1,764,851.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.