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Finding the Third Proportional to 200,869 and 437,791

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Solution

The third proportional to 200,869 and 437,791 is: 954,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869 : 437,791 = 437,791 : x
  2. Step 2: Convert to fraction form
    200,869/437,791 = 437,791/x
  3. Step 3: Cross multiply
    200,869x = 437,791 × 437,791
  4. Step 4: Simplify right side
    200,869x = 191,660,959,681
  5. Step 5: Solve for x
    x = 191,660,959,681/200,869
  6. Step 6: Final answer
    x = 954,158.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.