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Finding the Third Proportional to 1,407.94 and 2,503.69

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Solution

The third proportional to 1,407.94 and 2,503.69 is: 4,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.94 : 2,503.69 = 2,503.69 : x
  2. Step 2: Convert to fraction form
    1,407.94/2,503.69 = 2,503.69/x
  3. Step 3: Cross multiply
    1,407.94x = 2,503.69 × 2,503.69
  4. Step 4: Simplify right side
    1,407.94x = 6,268,451.10
  5. Step 5: Solve for x
    x = 6,268,451.10/1,407.94
  6. Step 6: Final answer
    x = 4,452.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.