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Finding the Third Proportional to 209,958.94 and 459,211.88

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Solution

The third proportional to 209,958.94 and 459,211.88 is: 1,004,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,958.94 : 459,211.88 = 459,211.88 : x
  2. Step 2: Convert to fraction form
    209,958.94/459,211.88 = 459,211.88/x
  3. Step 3: Cross multiply
    209,958.94x = 459,211.88 × 459,211.88
  4. Step 4: Simplify right side
    209,958.94x = 210,875,546,141.02
  5. Step 5: Solve for x
    x = 210,875,546,141.02/209,958.94
  6. Step 6: Final answer
    x = 1,004,365.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.