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Finding the Third Proportional to 407.53 and 894.80

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Solution

The third proportional to 407.53 and 894.80 is: 1,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.53 : 894.80 = 894.80 : x
  2. Step 2: Convert to fraction form
    407.53/894.80 = 894.80/x
  3. Step 3: Cross multiply
    407.53x = 894.80 × 894.80
  4. Step 4: Simplify right side
    407.53x = 800,661.45
  5. Step 5: Solve for x
    x = 800,661.45/407.53
  6. Step 6: Final answer
    x = 1,964.66

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Why These Related Problems?

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