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Finding the Third Proportional to 398,648 and 845,896

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Solution

The third proportional to 398,648 and 845,896 is: 1,794,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648 : 845,896 = 845,896 : x
  2. Step 2: Convert to fraction form
    398,648/845,896 = 845,896/x
  3. Step 3: Cross multiply
    398,648x = 845,896 × 845,896
  4. Step 4: Simplify right side
    398,648x = 715,540,042,816
  5. Step 5: Solve for x
    x = 715,540,042,816/398,648
  6. Step 6: Final answer
    x = 1,794,916.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.