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Finding the Third Proportional to 270 and 410.34

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Solution

The third proportional to 270 and 410.34 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 410.34 = 410.34 : x
  2. Step 2: Convert to fraction form
    270/410.34 = 410.34/x
  3. Step 3: Cross multiply
    270x = 410.34 × 410.34
  4. Step 4: Simplify right side
    270x = 168,381.99
  5. Step 5: Solve for x
    x = 168,381.99/270
  6. Step 6: Final answer
    x = 623.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.