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Finding the Third Proportional to 398,203 and 859,747

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Solution

The third proportional to 398,203 and 859,747 is: 1,856,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,203 : 859,747 = 859,747 : x
  2. Step 2: Convert to fraction form
    398,203/859,747 = 859,747/x
  3. Step 3: Cross multiply
    398,203x = 859,747 × 859,747
  4. Step 4: Simplify right side
    398,203x = 739,164,904,009
  5. Step 5: Solve for x
    x = 739,164,904,009/398,203
  6. Step 6: Final answer
    x = 1,856,251.47

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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.