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Finding the Third Proportional to 380,696 and 590,268

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Solution

The third proportional to 380,696 and 590,268 is: 915,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,696 : 590,268 = 590,268 : x
  2. Step 2: Convert to fraction form
    380,696/590,268 = 590,268/x
  3. Step 3: Cross multiply
    380,696x = 590,268 × 590,268
  4. Step 4: Simplify right side
    380,696x = 348,416,311,824
  5. Step 5: Solve for x
    x = 348,416,311,824/380,696
  6. Step 6: Final answer
    x = 915,208.75

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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.