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Finding the Third Proportional to 227,086.88 and 477,699.19

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Solution

The third proportional to 227,086.88 and 477,699.19 is: 1,004,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,086.88 : 477,699.19 = 477,699.19 : x
  2. Step 2: Convert to fraction form
    227,086.88/477,699.19 = 477,699.19/x
  3. Step 3: Cross multiply
    227,086.88x = 477,699.19 × 477,699.19
  4. Step 4: Simplify right side
    227,086.88x = 228,196,513,738.16
  5. Step 5: Solve for x
    x = 228,196,513,738.16/227,086.88
  6. Step 6: Final answer
    x = 1,004,886.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.