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Finding the Third Proportional to 573.84 and 1,250.16

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Solution

The third proportional to 573.84 and 1,250.16 is: 2,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.84 : 1,250.16 = 1,250.16 : x
  2. Step 2: Convert to fraction form
    573.84/1,250.16 = 1,250.16/x
  3. Step 3: Cross multiply
    573.84x = 1,250.16 × 1,250.16
  4. Step 4: Simplify right side
    573.84x = 1,562,890.65
  5. Step 5: Solve for x
    x = 1,562,890.65/573.84
  6. Step 6: Final answer
    x = 2,723.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.