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Finding the Third Proportional to 914.06 and 1,336.94

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Solution

The third proportional to 914.06 and 1,336.94 is: 1,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.06 : 1,336.94 = 1,336.94 : x
  2. Step 2: Convert to fraction form
    914.06/1,336.94 = 1,336.94/x
  3. Step 3: Cross multiply
    914.06x = 1,336.94 × 1,336.94
  4. Step 4: Simplify right side
    914.06x = 1,787,401.88
  5. Step 5: Solve for x
    x = 1,787,401.88/914.06
  6. Step 6: Final answer
    x = 1,955.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.