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Finding the Third Proportional to 318.94 and 410.70

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Solution

The third proportional to 318.94 and 410.70 is: 528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.94 : 410.70 = 410.70 : x
  2. Step 2: Convert to fraction form
    318.94/410.70 = 410.70/x
  3. Step 3: Cross multiply
    318.94x = 410.70 × 410.70
  4. Step 4: Simplify right side
    318.94x = 168,670.64
  5. Step 5: Solve for x
    x = 168,670.64/318.94
  6. Step 6: Final answer
    x = 528.85

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.