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Finding the Third Proportional to 341,078 and 477,093

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Solution

The third proportional to 341,078 and 477,093 is: 667,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,078 : 477,093 = 477,093 : x
  2. Step 2: Convert to fraction form
    341,078/477,093 = 477,093/x
  3. Step 3: Cross multiply
    341,078x = 477,093 × 477,093
  4. Step 4: Simplify right side
    341,078x = 227,617,730,649
  5. Step 5: Solve for x
    x = 227,617,730,649/341,078
  6. Step 6: Final answer
    x = 667,348.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.