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Finding the Third Proportional to 533.46 and 1,292.84

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Solution

The third proportional to 533.46 and 1,292.84 is: 3,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 1,292.84 = 1,292.84 : x
  2. Step 2: Convert to fraction form
    533.46/1,292.84 = 1,292.84/x
  3. Step 3: Cross multiply
    533.46x = 1,292.84 × 1,292.84
  4. Step 4: Simplify right side
    533.46x = 1,671,424.76
  5. Step 5: Solve for x
    x = 1,671,424.76/533.46
  6. Step 6: Final answer
    x = 3,133.17

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.