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Finding the Third Proportional to 208,972 and 449,368

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Solution

The third proportional to 208,972 and 449,368 is: 966,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,972 : 449,368 = 449,368 : x
  2. Step 2: Convert to fraction form
    208,972/449,368 = 449,368/x
  3. Step 3: Cross multiply
    208,972x = 449,368 × 449,368
  4. Step 4: Simplify right side
    208,972x = 201,931,599,424
  5. Step 5: Solve for x
    x = 201,931,599,424/208,972
  6. Step 6: Final answer
    x = 966,309.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.