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Finding the Third Proportional to 311,539 and 445,506.50

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Solution

The third proportional to 311,539 and 445,506.50 is: 637,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,539 : 445,506.50 = 445,506.50 : x
  2. Step 2: Convert to fraction form
    311,539/445,506.50 = 445,506.50/x
  3. Step 3: Cross multiply
    311,539x = 445,506.50 × 445,506.50
  4. Step 4: Simplify right side
    311,539x = 198,476,041,542.25
  5. Step 5: Solve for x
    x = 198,476,041,542.25/311,539
  6. Step 6: Final answer
    x = 637,082.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.