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Finding the Third Proportional to 282,928 and 384,476

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Solution

The third proportional to 282,928 and 384,476 is: 522,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,928 : 384,476 = 384,476 : x
  2. Step 2: Convert to fraction form
    282,928/384,476 = 384,476/x
  3. Step 3: Cross multiply
    282,928x = 384,476 × 384,476
  4. Step 4: Simplify right side
    282,928x = 147,821,794,576
  5. Step 5: Solve for x
    x = 147,821,794,576/282,928
  6. Step 6: Final answer
    x = 522,471.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.