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Finding the Third Proportional to 331,948 and 477,186

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Solution

The third proportional to 331,948 and 477,186 is: 685,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,948 : 477,186 = 477,186 : x
  2. Step 2: Convert to fraction form
    331,948/477,186 = 477,186/x
  3. Step 3: Cross multiply
    331,948x = 477,186 × 477,186
  4. Step 4: Simplify right side
    331,948x = 227,706,478,596
  5. Step 5: Solve for x
    x = 227,706,478,596/331,948
  6. Step 6: Final answer
    x = 685,970.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.