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Finding the Third Proportional to 410.81 and 894.19

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Solution

The third proportional to 410.81 and 894.19 is: 1,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.81 : 894.19 = 894.19 : x
  2. Step 2: Convert to fraction form
    410.81/894.19 = 894.19/x
  3. Step 3: Cross multiply
    410.81x = 894.19 × 894.19
  4. Step 4: Simplify right side
    410.81x = 799,571.29
  5. Step 5: Solve for x
    x = 799,571.29/410.81
  6. Step 6: Final answer
    x = 1,946.32

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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.