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Finding the Third Proportional to 598.59 and 1,308.09

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Solution

The third proportional to 598.59 and 1,308.09 is: 2,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.59 : 1,308.09 = 1,308.09 : x
  2. Step 2: Convert to fraction form
    598.59/1,308.09 = 1,308.09/x
  3. Step 3: Cross multiply
    598.59x = 1,308.09 × 1,308.09
  4. Step 4: Simplify right side
    598.59x = 1,711,109.26
  5. Step 5: Solve for x
    x = 1,711,109.26/598.59
  6. Step 6: Final answer
    x = 2,858.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.