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Finding the Third Proportional to 426.75 and 930.56

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Solution

The third proportional to 426.75 and 930.56 is: 2,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.75 : 930.56 = 930.56 : x
  2. Step 2: Convert to fraction form
    426.75/930.56 = 930.56/x
  3. Step 3: Cross multiply
    426.75x = 930.56 × 930.56
  4. Step 4: Simplify right side
    426.75x = 865,946.57
  5. Step 5: Solve for x
    x = 865,946.57/426.75
  6. Step 6: Final answer
    x = 2,029.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.