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Finding the Third Proportional to 514.88 and 1,145.06

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Solution

The third proportional to 514.88 and 1,145.06 is: 2,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.88 : 1,145.06 = 1,145.06 : x
  2. Step 2: Convert to fraction form
    514.88/1,145.06 = 1,145.06/x
  3. Step 3: Cross multiply
    514.88x = 1,145.06 × 1,145.06
  4. Step 4: Simplify right side
    514.88x = 1,311,168.13
  5. Step 5: Solve for x
    x = 1,311,168.13/514.88
  6. Step 6: Final answer
    x = 2,546.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.