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Finding the Third Proportional to 298,170 and 596,096

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Solution

The third proportional to 298,170 and 596,096 is: 1,191,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,170 : 596,096 = 596,096 : x
  2. Step 2: Convert to fraction form
    298,170/596,096 = 596,096/x
  3. Step 3: Cross multiply
    298,170x = 596,096 × 596,096
  4. Step 4: Simplify right side
    298,170x = 355,330,441,216
  5. Step 5: Solve for x
    x = 355,330,441,216/298,170
  6. Step 6: Final answer
    x = 1,191,704.20

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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.