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Finding the Third Proportional to 214,245 and 409,050

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Solution

The third proportional to 214,245 and 409,050 is: 780,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,245 : 409,050 = 409,050 : x
  2. Step 2: Convert to fraction form
    214,245/409,050 = 409,050/x
  3. Step 3: Cross multiply
    214,245x = 409,050 × 409,050
  4. Step 4: Simplify right side
    214,245x = 167,321,902,500
  5. Step 5: Solve for x
    x = 167,321,902,500/214,245
  6. Step 6: Final answer
    x = 780,983.93

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.