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Finding the Third Proportional to 383,949 and 603,139.50

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Solution

The third proportional to 383,949 and 603,139.50 is: 947,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,949 : 603,139.50 = 603,139.50 : x
  2. Step 2: Convert to fraction form
    383,949/603,139.50 = 603,139.50/x
  3. Step 3: Cross multiply
    383,949x = 603,139.50 × 603,139.50
  4. Step 4: Simplify right side
    383,949x = 363,777,256,460.25
  5. Step 5: Solve for x
    x = 363,777,256,460.25/383,949
  6. Step 6: Final answer
    x = 947,462.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.