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Finding the Third Proportional to 211,243.50 and 458,322

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Solution

The third proportional to 211,243.50 and 458,322 is: 994,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243.50 : 458,322 = 458,322 : x
  2. Step 2: Convert to fraction form
    211,243.50/458,322 = 458,322/x
  3. Step 3: Cross multiply
    211,243.50x = 458,322 × 458,322
  4. Step 4: Simplify right side
    211,243.50x = 210,059,055,684
  5. Step 5: Solve for x
    x = 210,059,055,684/211,243.50
  6. Step 6: Final answer
    x = 994,392.99

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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.