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Finding the Third Proportional to 336.75 and 719.63

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Solution

The third proportional to 336.75 and 719.63 is: 1,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 719.63 = 719.63 : x
  2. Step 2: Convert to fraction form
    336.75/719.63 = 719.63/x
  3. Step 3: Cross multiply
    336.75x = 719.63 × 719.63
  4. Step 4: Simplify right side
    336.75x = 517,860.14
  5. Step 5: Solve for x
    x = 517,860.14/336.75
  6. Step 6: Final answer
    x = 1,537.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.