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Finding the Third Proportional to 310.64 and 679.71

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Solution

The third proportional to 310.64 and 679.71 is: 1,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 679.71 = 679.71 : x
  2. Step 2: Convert to fraction form
    310.64/679.71 = 679.71/x
  3. Step 3: Cross multiply
    310.64x = 679.71 × 679.71
  4. Step 4: Simplify right side
    310.64x = 462,006.96
  5. Step 5: Solve for x
    x = 462,006.96/310.64
  6. Step 6: Final answer
    x = 1,487.27

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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.