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Finding the Third Proportional to 311,442.50 and 408,950

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Solution

The third proportional to 311,442.50 and 408,950 is: 536,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,442.50 : 408,950 = 408,950 : x
  2. Step 2: Convert to fraction form
    311,442.50/408,950 = 408,950/x
  3. Step 3: Cross multiply
    311,442.50x = 408,950 × 408,950
  4. Step 4: Simplify right side
    311,442.50x = 167,240,102,500
  5. Step 5: Solve for x
    x = 167,240,102,500/311,442.50
  6. Step 6: Final answer
    x = 536,985.49

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.