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Finding the Third Proportional to 291.09 and 419.48

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Solution

The third proportional to 291.09 and 419.48 is: 604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 419.48 = 419.48 : x
  2. Step 2: Convert to fraction form
    291.09/419.48 = 419.48/x
  3. Step 3: Cross multiply
    291.09x = 419.48 × 419.48
  4. Step 4: Simplify right side
    291.09x = 175,967.14
  5. Step 5: Solve for x
    x = 175,967.14/291.09
  6. Step 6: Final answer
    x = 604.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.