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Finding the Third Proportional to 398,420 and 863,256

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Solution

The third proportional to 398,420 and 863,256 is: 1,870,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,420 : 863,256 = 863,256 : x
  2. Step 2: Convert to fraction form
    398,420/863,256 = 863,256/x
  3. Step 3: Cross multiply
    398,420x = 863,256 × 863,256
  4. Step 4: Simplify right side
    398,420x = 745,210,921,536
  5. Step 5: Solve for x
    x = 745,210,921,536/398,420
  6. Step 6: Final answer
    x = 1,870,415.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.