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Finding the Third Proportional to 227,113.88 and 477,768.38

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Solution

The third proportional to 227,113.88 and 477,768.38 is: 1,005,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,113.88 : 477,768.38 = 477,768.38 : x
  2. Step 2: Convert to fraction form
    227,113.88/477,768.38 = 477,768.38/x
  3. Step 3: Cross multiply
    227,113.88x = 477,768.38 × 477,768.38
  4. Step 4: Simplify right side
    227,113.88x = 228,262,620,150.14
  5. Step 5: Solve for x
    x = 228,262,620,150.14/227,113.88
  6. Step 6: Final answer
    x = 1,005,058.01

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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.