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Finding the Third Proportional to 415.76 and 894.16

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Solution

The third proportional to 415.76 and 894.16 is: 1,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 894.16 = 894.16 : x
  2. Step 2: Convert to fraction form
    415.76/894.16 = 894.16/x
  3. Step 3: Cross multiply
    415.76x = 894.16 × 894.16
  4. Step 4: Simplify right side
    415.76x = 799,529.37
  5. Step 5: Solve for x
    x = 799,529.37/415.76
  6. Step 6: Final answer
    x = 1,923.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.