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Finding the Third Proportional to 559.88 and 1,208.06

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Solution

The third proportional to 559.88 and 1,208.06 is: 2,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.88 : 1,208.06 = 1,208.06 : x
  2. Step 2: Convert to fraction form
    559.88/1,208.06 = 1,208.06/x
  3. Step 3: Cross multiply
    559.88x = 1,208.06 × 1,208.06
  4. Step 4: Simplify right side
    559.88x = 1,459,415.00
  5. Step 5: Solve for x
    x = 1,459,415.00/559.88
  6. Step 6: Final answer
    x = 2,606.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.