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Finding the Third Proportional to 316.09 and 689.84

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Solution

The third proportional to 316.09 and 689.84 is: 1,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 689.84 = 689.84 : x
  2. Step 2: Convert to fraction form
    316.09/689.84 = 689.84/x
  3. Step 3: Cross multiply
    316.09x = 689.84 × 689.84
  4. Step 4: Simplify right side
    316.09x = 475,885.75
  5. Step 5: Solve for x
    x = 475,885.75/316.09
  6. Step 6: Final answer
    x = 1,505.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.