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Finding the Third Proportional to 621.75 and 841.44

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Solution

The third proportional to 621.75 and 841.44 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.75 : 841.44 = 841.44 : x
  2. Step 2: Convert to fraction form
    621.75/841.44 = 841.44/x
  3. Step 3: Cross multiply
    621.75x = 841.44 × 841.44
  4. Step 4: Simplify right side
    621.75x = 708,017.07
  5. Step 5: Solve for x
    x = 708,017.07/621.75
  6. Step 6: Final answer
    x = 1,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.