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Finding the Third Proportional to 386,138 and 590,696

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Solution

The third proportional to 386,138 and 590,696 is: 903,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,138 : 590,696 = 590,696 : x
  2. Step 2: Convert to fraction form
    386,138/590,696 = 590,696/x
  3. Step 3: Cross multiply
    386,138x = 590,696 × 590,696
  4. Step 4: Simplify right side
    386,138x = 348,921,764,416
  5. Step 5: Solve for x
    x = 348,921,764,416/386,138
  6. Step 6: Final answer
    x = 903,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.