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Finding the Third Proportional to 531.94 and 1,020.06

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Solution

The third proportional to 531.94 and 1,020.06 is: 1,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.94 : 1,020.06 = 1,020.06 : x
  2. Step 2: Convert to fraction form
    531.94/1,020.06 = 1,020.06/x
  3. Step 3: Cross multiply
    531.94x = 1,020.06 × 1,020.06
  4. Step 4: Simplify right side
    531.94x = 1,040,527.50
  5. Step 5: Solve for x
    x = 1,040,527.50/531.94
  6. Step 6: Final answer
    x = 1,956.11

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.