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Finding the Third Proportional to 211,200 and 458,832

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Solution

The third proportional to 211,200 and 458,832 is: 996,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,200 : 458,832 = 458,832 : x
  2. Step 2: Convert to fraction form
    211,200/458,832 = 458,832/x
  3. Step 3: Cross multiply
    211,200x = 458,832 × 458,832
  4. Step 4: Simplify right side
    211,200x = 210,526,804,224
  5. Step 5: Solve for x
    x = 210,526,804,224/211,200
  6. Step 6: Final answer
    x = 996,812.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.