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Finding the Third Proportional to 573.05 and 1,255.92

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Solution

The third proportional to 573.05 and 1,255.92 is: 2,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.05 : 1,255.92 = 1,255.92 : x
  2. Step 2: Convert to fraction form
    573.05/1,255.92 = 1,255.92/x
  3. Step 3: Cross multiply
    573.05x = 1,255.92 × 1,255.92
  4. Step 4: Simplify right side
    573.05x = 1,577,339.76
  5. Step 5: Solve for x
    x = 1,577,339.76/573.05
  6. Step 6: Final answer
    x = 2,752.55

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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.