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Finding the Third Proportional to 407.25 and 894.94

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Solution

The third proportional to 407.25 and 894.94 is: 1,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.25 : 894.94 = 894.94 : x
  2. Step 2: Convert to fraction form
    407.25/894.94 = 894.94/x
  3. Step 3: Cross multiply
    407.25x = 894.94 × 894.94
  4. Step 4: Simplify right side
    407.25x = 800,913.13
  5. Step 5: Solve for x
    x = 800,913.13/407.25
  6. Step 6: Final answer
    x = 1,966.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.