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Finding the Third Proportional to 404,764 and 870,758

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Solution

The third proportional to 404,764 and 870,758 is: 1,873,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,764 : 870,758 = 870,758 : x
  2. Step 2: Convert to fraction form
    404,764/870,758 = 870,758/x
  3. Step 3: Cross multiply
    404,764x = 870,758 × 870,758
  4. Step 4: Simplify right side
    404,764x = 758,219,494,564
  5. Step 5: Solve for x
    x = 758,219,494,564/404,764
  6. Step 6: Final answer
    x = 1,873,238.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.