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Finding the Third Proportional to 555.94 and 1,197.94

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Solution

The third proportional to 555.94 and 1,197.94 is: 2,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.94 : 1,197.94 = 1,197.94 : x
  2. Step 2: Convert to fraction form
    555.94/1,197.94 = 1,197.94/x
  3. Step 3: Cross multiply
    555.94x = 1,197.94 × 1,197.94
  4. Step 4: Simplify right side
    555.94x = 1,435,054.25
  5. Step 5: Solve for x
    x = 1,435,054.25/555.94
  6. Step 6: Final answer
    x = 2,581.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.