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Finding the Third Proportional to 942.19 and 1,464.05

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Solution

The third proportional to 942.19 and 1,464.05 is: 2,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 1,464.05 = 1,464.05 : x
  2. Step 2: Convert to fraction form
    942.19/1,464.05 = 1,464.05/x
  3. Step 3: Cross multiply
    942.19x = 1,464.05 × 1,464.05
  4. Step 4: Simplify right side
    942.19x = 2,143,433.25
  5. Step 5: Solve for x
    x = 2,143,433.25/942.19
  6. Step 6: Final answer
    x = 2,274.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.