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Finding the Third Proportional to 596.75 and 1,308.94

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Solution

The third proportional to 596.75 and 1,308.94 is: 2,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 1,308.94 = 1,308.94 : x
  2. Step 2: Convert to fraction form
    596.75/1,308.94 = 1,308.94/x
  3. Step 3: Cross multiply
    596.75x = 1,308.94 × 1,308.94
  4. Step 4: Simplify right side
    596.75x = 1,713,317.38
  5. Step 5: Solve for x
    x = 1,713,317.38/596.75
  6. Step 6: Final answer
    x = 2,871.08

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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.