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Finding the Third Proportional to 211,324 and 464,120

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Solution

The third proportional to 211,324 and 464,120 is: 1,019,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324 : 464,120 = 464,120 : x
  2. Step 2: Convert to fraction form
    211,324/464,120 = 464,120/x
  3. Step 3: Cross multiply
    211,324x = 464,120 × 464,120
  4. Step 4: Simplify right side
    211,324x = 215,407,374,400
  5. Step 5: Solve for x
    x = 215,407,374,400/211,324
  6. Step 6: Final answer
    x = 1,019,322.81

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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.