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Finding the Third Proportional to 589.46 and 1,230.19

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Solution

The third proportional to 589.46 and 1,230.19 is: 2,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.46 : 1,230.19 = 1,230.19 : x
  2. Step 2: Convert to fraction form
    589.46/1,230.19 = 1,230.19/x
  3. Step 3: Cross multiply
    589.46x = 1,230.19 × 1,230.19
  4. Step 4: Simplify right side
    589.46x = 1,513,361.29
  5. Step 5: Solve for x
    x = 1,513,361.29/589.46
  6. Step 6: Final answer
    x = 2,567.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.