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Finding the Third Proportional to 319.69 and 473.44

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Solution

The third proportional to 319.69 and 473.44 is: 701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.69 : 473.44 = 473.44 : x
  2. Step 2: Convert to fraction form
    319.69/473.44 = 473.44/x
  3. Step 3: Cross multiply
    319.69x = 473.44 × 473.44
  4. Step 4: Simplify right side
    319.69x = 224,143.07
  5. Step 5: Solve for x
    x = 224,143.07/319.69
  6. Step 6: Final answer
    x = 701.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.