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Finding the Third Proportional to 411.94 and 900.84

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Solution

The third proportional to 411.94 and 900.84 is: 1,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 900.84 = 900.84 : x
  2. Step 2: Convert to fraction form
    411.94/900.84 = 900.84/x
  3. Step 3: Cross multiply
    411.94x = 900.84 × 900.84
  4. Step 4: Simplify right side
    411.94x = 811,519.46
  5. Step 5: Solve for x
    x = 811,519.46/411.94
  6. Step 6: Final answer
    x = 1,970.01

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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.