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Finding the Third Proportional to 228,969 and 336,586

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Solution

The third proportional to 228,969 and 336,586 is: 494,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,969 : 336,586 = 336,586 : x
  2. Step 2: Convert to fraction form
    228,969/336,586 = 336,586/x
  3. Step 3: Cross multiply
    228,969x = 336,586 × 336,586
  4. Step 4: Simplify right side
    228,969x = 113,290,135,396
  5. Step 5: Solve for x
    x = 113,290,135,396/228,969
  6. Step 6: Final answer
    x = 494,783.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.