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Finding the Third Proportional to 319.50 and 509.63

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Solution

The third proportional to 319.50 and 509.63 is: 812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 509.63 = 509.63 : x
  2. Step 2: Convert to fraction form
    319.50/509.63 = 509.63/x
  3. Step 3: Cross multiply
    319.50x = 509.63 × 509.63
  4. Step 4: Simplify right side
    319.50x = 259,717.64
  5. Step 5: Solve for x
    x = 259,717.64/319.50
  6. Step 6: Final answer
    x = 812.89

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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.