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Finding the Third Proportional to 227,091 and 477,707

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Solution

The third proportional to 227,091 and 477,707 is: 1,004,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,091 : 477,707 = 477,707 : x
  2. Step 2: Convert to fraction form
    227,091/477,707 = 477,707/x
  3. Step 3: Cross multiply
    227,091x = 477,707 × 477,707
  4. Step 4: Simplify right side
    227,091x = 228,203,977,849
  5. Step 5: Solve for x
    x = 228,203,977,849/227,091
  6. Step 6: Final answer
    x = 1,004,901.02

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Why These Related Problems?

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