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Finding the Third Proportional to 841.50 and 1,224.75

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Solution

The third proportional to 841.50 and 1,224.75 is: 1,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.50 : 1,224.75 = 1,224.75 : x
  2. Step 2: Convert to fraction form
    841.50/1,224.75 = 1,224.75/x
  3. Step 3: Cross multiply
    841.50x = 1,224.75 × 1,224.75
  4. Step 4: Simplify right side
    841.50x = 1,500,012.56
  5. Step 5: Solve for x
    x = 1,500,012.56/841.50
  6. Step 6: Final answer
    x = 1,782.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.