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Finding the Third Proportional to 227,089 and 477,703

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Solution

The third proportional to 227,089 and 477,703 is: 1,004,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,089 : 477,703 = 477,703 : x
  2. Step 2: Convert to fraction form
    227,089/477,703 = 477,703/x
  3. Step 3: Cross multiply
    227,089x = 477,703 × 477,703
  4. Step 4: Simplify right side
    227,089x = 228,200,156,209
  5. Step 5: Solve for x
    x = 228,200,156,209/227,089
  6. Step 6: Final answer
    x = 1,004,893.04

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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.