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Finding the Third Proportional to 555.94 and 1,188.66

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Solution

The third proportional to 555.94 and 1,188.66 is: 2,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.94 : 1,188.66 = 1,188.66 : x
  2. Step 2: Convert to fraction form
    555.94/1,188.66 = 1,188.66/x
  3. Step 3: Cross multiply
    555.94x = 1,188.66 × 1,188.66
  4. Step 4: Simplify right side
    555.94x = 1,412,903.68
  5. Step 5: Solve for x
    x = 1,412,903.68/555.94
  6. Step 6: Final answer
    x = 2,541.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.