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Finding the Third Proportional to 214,456 and 453,104

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Solution

The third proportional to 214,456 and 453,104 is: 957,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,456 : 453,104 = 453,104 : x
  2. Step 2: Convert to fraction form
    214,456/453,104 = 453,104/x
  3. Step 3: Cross multiply
    214,456x = 453,104 × 453,104
  4. Step 4: Simplify right side
    214,456x = 205,303,234,816
  5. Step 5: Solve for x
    x = 205,303,234,816/214,456
  6. Step 6: Final answer
    x = 957,321.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.