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Finding the Third Proportional to 347,808 and 465,876

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Solution

The third proportional to 347,808 and 465,876 is: 624,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,808 : 465,876 = 465,876 : x
  2. Step 2: Convert to fraction form
    347,808/465,876 = 465,876/x
  3. Step 3: Cross multiply
    347,808x = 465,876 × 465,876
  4. Step 4: Simplify right side
    347,808x = 217,040,447,376
  5. Step 5: Solve for x
    x = 217,040,447,376/347,808
  6. Step 6: Final answer
    x = 624,023.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.