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Finding the Third Proportional to 200,406 and 300,056

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Solution

The third proportional to 200,406 and 300,056 is: 449,256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406 : 300,056 = 300,056 : x
  2. Step 2: Convert to fraction form
    200,406/300,056 = 300,056/x
  3. Step 3: Cross multiply
    200,406x = 300,056 × 300,056
  4. Step 4: Simplify right side
    200,406x = 90,033,603,136
  5. Step 5: Solve for x
    x = 90,033,603,136/200,406
  6. Step 6: Final answer
    x = 449,256.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.