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Finding the Third Proportional to 287,986 and 405,370

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Solution

The third proportional to 287,986 and 405,370 is: 570,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,986 : 405,370 = 405,370 : x
  2. Step 2: Convert to fraction form
    287,986/405,370 = 405,370/x
  3. Step 3: Cross multiply
    287,986x = 405,370 × 405,370
  4. Step 4: Simplify right side
    287,986x = 164,324,836,900
  5. Step 5: Solve for x
    x = 164,324,836,900/287,986
  6. Step 6: Final answer
    x = 570,600.09

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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.