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Finding the Third Proportional to 269,083.69 and 416,383.03

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Solution

The third proportional to 269,083.69 and 416,383.03 is: 644,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,083.69 : 416,383.03 = 416,383.03 : x
  2. Step 2: Convert to fraction form
    269,083.69/416,383.03 = 416,383.03/x
  3. Step 3: Cross multiply
    269,083.69x = 416,383.03 × 416,383.03
  4. Step 4: Simplify right side
    269,083.69x = 173,374,828,712.94
  5. Step 5: Solve for x
    x = 173,374,828,712.94/269,083.69
  6. Step 6: Final answer
    x = 644,315.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.