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Finding the Third Proportional to 404,765 and 870,760

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Solution

The third proportional to 404,765 and 870,760 is: 1,873,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,765 : 870,760 = 870,760 : x
  2. Step 2: Convert to fraction form
    404,765/870,760 = 870,760/x
  3. Step 3: Cross multiply
    404,765x = 870,760 × 870,760
  4. Step 4: Simplify right side
    404,765x = 758,222,977,600
  5. Step 5: Solve for x
    x = 758,222,977,600/404,765
  6. Step 6: Final answer
    x = 1,873,242.44

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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.