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Finding the Third Proportional to 605.81 and 910.41

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Solution

The third proportional to 605.81 and 910.41 is: 1,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.81 : 910.41 = 910.41 : x
  2. Step 2: Convert to fraction form
    605.81/910.41 = 910.41/x
  3. Step 3: Cross multiply
    605.81x = 910.41 × 910.41
  4. Step 4: Simplify right side
    605.81x = 828,839.54
  5. Step 5: Solve for x
    x = 828,839.54/605.81
  6. Step 6: Final answer
    x = 1,368.15

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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.