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Finding the Third Proportional to 287,993 and 405,381

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Solution

The third proportional to 287,993 and 405,381 is: 570,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,993 : 405,381 = 405,381 : x
  2. Step 2: Convert to fraction form
    287,993/405,381 = 405,381/x
  3. Step 3: Cross multiply
    287,993x = 405,381 × 405,381
  4. Step 4: Simplify right side
    287,993x = 164,333,755,161
  5. Step 5: Solve for x
    x = 164,333,755,161/287,993
  6. Step 6: Final answer
    x = 570,617.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.