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Finding the Third Proportional to 370.27 and 556.35

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Solution

The third proportional to 370.27 and 556.35 is: 835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 556.35 = 556.35 : x
  2. Step 2: Convert to fraction form
    370.27/556.35 = 556.35/x
  3. Step 3: Cross multiply
    370.27x = 556.35 × 556.35
  4. Step 4: Simplify right side
    370.27x = 309,522.71
  5. Step 5: Solve for x
    x = 309,522.71/370.27
  6. Step 6: Final answer
    x = 835.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.