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Finding the Third Proportional to 412.48 and 901.84

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Solution

The third proportional to 412.48 and 901.84 is: 1,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 901.84 = 901.84 : x
  2. Step 2: Convert to fraction form
    412.48/901.84 = 901.84/x
  3. Step 3: Cross multiply
    412.48x = 901.84 × 901.84
  4. Step 4: Simplify right side
    412.48x = 813,322.15
  5. Step 5: Solve for x
    x = 813,322.15/412.48
  6. Step 6: Final answer
    x = 1,971.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.