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Finding the Third Proportional to 356,027 and 551,085

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Solution

The third proportional to 356,027 and 551,085 is: 853,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,027 : 551,085 = 551,085 : x
  2. Step 2: Convert to fraction form
    356,027/551,085 = 551,085/x
  3. Step 3: Cross multiply
    356,027x = 551,085 × 551,085
  4. Step 4: Simplify right side
    356,027x = 303,694,677,225
  5. Step 5: Solve for x
    x = 303,694,677,225/356,027
  6. Step 6: Final answer
    x = 853,010.24

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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.