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Finding the Third Proportional to 314.75 and 690.38

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Solution

The third proportional to 314.75 and 690.38 is: 1,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 690.38 = 690.38 : x
  2. Step 2: Convert to fraction form
    314.75/690.38 = 690.38/x
  3. Step 3: Cross multiply
    314.75x = 690.38 × 690.38
  4. Step 4: Simplify right side
    314.75x = 476,617.64
  5. Step 5: Solve for x
    x = 476,617.64/314.75
  6. Step 6: Final answer
    x = 1,514.27

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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.