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Finding the Third Proportional to 319.25 and 684.07

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Solution

The third proportional to 319.25 and 684.07 is: 1,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 684.07 = 684.07 : x
  2. Step 2: Convert to fraction form
    319.25/684.07 = 684.07/x
  3. Step 3: Cross multiply
    319.25x = 684.07 × 684.07
  4. Step 4: Simplify right side
    319.25x = 467,952.19
  5. Step 5: Solve for x
    x = 467,952.19/319.25
  6. Step 6: Final answer
    x = 1,465.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.