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Finding the Third Proportional to 211,404 and 458,232

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Solution

The third proportional to 211,404 and 458,232 is: 993,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,404 : 458,232 = 458,232 : x
  2. Step 2: Convert to fraction form
    211,404/458,232 = 458,232/x
  3. Step 3: Cross multiply
    211,404x = 458,232 × 458,232
  4. Step 4: Simplify right side
    211,404x = 209,976,565,824
  5. Step 5: Solve for x
    x = 209,976,565,824/211,404
  6. Step 6: Final answer
    x = 993,247.84

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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.