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Finding the Third Proportional to 544 and 1,283.94

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Solution

The third proportional to 544 and 1,283.94 is: 3,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    544 : 1,283.94 = 1,283.94 : x
  2. Step 2: Convert to fraction form
    544/1,283.94 = 1,283.94/x
  3. Step 3: Cross multiply
    544x = 1,283.94 × 1,283.94
  4. Step 4: Simplify right side
    544x = 1,648,495.50
  5. Step 5: Solve for x
    x = 1,648,495.50/544
  6. Step 6: Final answer
    x = 3,030.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.