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Finding the Third Proportional to 270.06 and 429.94

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Solution

The third proportional to 270.06 and 429.94 is: 684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 429.94 = 429.94 : x
  2. Step 2: Convert to fraction form
    270.06/429.94 = 429.94/x
  3. Step 3: Cross multiply
    270.06x = 429.94 × 429.94
  4. Step 4: Simplify right side
    270.06x = 184,846.25
  5. Step 5: Solve for x
    x = 184,846.25/270.06
  6. Step 6: Final answer
    x = 684.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.