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Finding the Third Proportional to 578.63 and 1,204.13

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Solution

The third proportional to 578.63 and 1,204.13 is: 2,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.63 : 1,204.13 = 1,204.13 : x
  2. Step 2: Convert to fraction form
    578.63/1,204.13 = 1,204.13/x
  3. Step 3: Cross multiply
    578.63x = 1,204.13 × 1,204.13
  4. Step 4: Simplify right side
    578.63x = 1,449,917.02
  5. Step 5: Solve for x
    x = 1,449,917.02/578.63
  6. Step 6: Final answer
    x = 2,505.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.