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Finding the Third Proportional to 319.63 and 512.69

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Solution

The third proportional to 319.63 and 512.69 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.63 : 512.69 = 512.69 : x
  2. Step 2: Convert to fraction form
    319.63/512.69 = 512.69/x
  3. Step 3: Cross multiply
    319.63x = 512.69 × 512.69
  4. Step 4: Simplify right side
    319.63x = 262,848.47
  5. Step 5: Solve for x
    x = 262,848.47/319.63
  6. Step 6: Final answer
    x = 822.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.