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Finding the Third Proportional to 298,168 and 596,092

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Solution

The third proportional to 298,168 and 596,092 is: 1,191,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,168 : 596,092 = 596,092 : x
  2. Step 2: Convert to fraction form
    298,168/596,092 = 596,092/x
  3. Step 3: Cross multiply
    298,168x = 596,092 × 596,092
  4. Step 4: Simplify right side
    298,168x = 355,325,672,464
  5. Step 5: Solve for x
    x = 355,325,672,464/298,168
  6. Step 6: Final answer
    x = 1,191,696.20

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.