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Finding the Third Proportional to 227,143.13 and 477,813.38

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Solution

The third proportional to 227,143.13 and 477,813.38 is: 1,005,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,143.13 : 477,813.38 = 477,813.38 : x
  2. Step 2: Convert to fraction form
    227,143.13/477,813.38 = 477,813.38/x
  3. Step 3: Cross multiply
    227,143.13x = 477,813.38 × 477,813.38
  4. Step 4: Simplify right side
    227,143.13x = 228,305,621,328.89
  5. Step 5: Solve for x
    x = 228,305,621,328.89/227,143.13
  6. Step 6: Final answer
    x = 1,005,117.90

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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.