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Finding the Third Proportional to 310.39 and 674.89

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Solution

The third proportional to 310.39 and 674.89 is: 1,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.39 : 674.89 = 674.89 : x
  2. Step 2: Convert to fraction form
    310.39/674.89 = 674.89/x
  3. Step 3: Cross multiply
    310.39x = 674.89 × 674.89
  4. Step 4: Simplify right side
    310.39x = 455,482.63
  5. Step 5: Solve for x
    x = 455,482.63/310.39
  6. Step 6: Final answer
    x = 1,467.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.