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Finding the Third Proportional to 335.16 and 504.84

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Solution

The third proportional to 335.16 and 504.84 is: 760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.16 : 504.84 = 504.84 : x
  2. Step 2: Convert to fraction form
    335.16/504.84 = 504.84/x
  3. Step 3: Cross multiply
    335.16x = 504.84 × 504.84
  4. Step 4: Simplify right side
    335.16x = 254,867.21
  5. Step 5: Solve for x
    x = 254,867.21/335.16
  6. Step 6: Final answer
    x = 760.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.