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Finding the Third Proportional to 273,792 and 401,200

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Solution

The third proportional to 273,792 and 401,200 is: 587,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,792 : 401,200 = 401,200 : x
  2. Step 2: Convert to fraction form
    273,792/401,200 = 401,200/x
  3. Step 3: Cross multiply
    273,792x = 401,200 × 401,200
  4. Step 4: Simplify right side
    273,792x = 160,961,440,000
  5. Step 5: Solve for x
    x = 160,961,440,000/273,792
  6. Step 6: Final answer
    x = 587,896.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.