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Finding the Third Proportional to 404,993 and 643,660

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Solution

The third proportional to 404,993 and 643,660 is: 1,022,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,993 : 643,660 = 643,660 : x
  2. Step 2: Convert to fraction form
    404,993/643,660 = 643,660/x
  3. Step 3: Cross multiply
    404,993x = 643,660 × 643,660
  4. Step 4: Simplify right side
    404,993x = 414,298,195,600
  5. Step 5: Solve for x
    x = 414,298,195,600/404,993
  6. Step 6: Final answer
    x = 1,022,976.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.