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Finding the Third Proportional to 222,771.94 and 473,154.19

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Solution

The third proportional to 222,771.94 and 473,154.19 is: 1,004,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,771.94 : 473,154.19 = 473,154.19 : x
  2. Step 2: Convert to fraction form
    222,771.94/473,154.19 = 473,154.19/x
  3. Step 3: Cross multiply
    222,771.94x = 473,154.19 × 473,154.19
  4. Step 4: Simplify right side
    222,771.94x = 223,874,885,148.79
  5. Step 5: Solve for x
    x = 223,874,885,148.79/222,771.94
  6. Step 6: Final answer
    x = 1,004,951.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.