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Finding the Third Proportional to 505.88 and 1,114.13

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Solution

The third proportional to 505.88 and 1,114.13 is: 2,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 1,114.13 = 1,114.13 : x
  2. Step 2: Convert to fraction form
    505.88/1,114.13 = 1,114.13/x
  3. Step 3: Cross multiply
    505.88x = 1,114.13 × 1,114.13
  4. Step 4: Simplify right side
    505.88x = 1,241,274.52
  5. Step 5: Solve for x
    x = 1,241,274.52/505.88
  6. Step 6: Final answer
    x = 2,453.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.