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Finding the Third Proportional to 351,270 and 828,942.75

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Solution

The third proportional to 351,270 and 828,942.75 is: 1,956,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,270 : 828,942.75 = 828,942.75 : x
  2. Step 2: Convert to fraction form
    351,270/828,942.75 = 828,942.75/x
  3. Step 3: Cross multiply
    351,270x = 828,942.75 × 828,942.75
  4. Step 4: Simplify right side
    351,270x = 687,146,082,777.56
  5. Step 5: Solve for x
    x = 687,146,082,777.56/351,270
  6. Step 6: Final answer
    x = 1,956,176.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.