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Finding the Third Proportional to 211,054.50 and 443,979

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Solution

The third proportional to 211,054.50 and 443,979 is: 933,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,054.50 : 443,979 = 443,979 : x
  2. Step 2: Convert to fraction form
    211,054.50/443,979 = 443,979/x
  3. Step 3: Cross multiply
    211,054.50x = 443,979 × 443,979
  4. Step 4: Simplify right side
    211,054.50x = 197,117,352,441
  5. Step 5: Solve for x
    x = 197,117,352,441/211,054.50
  6. Step 6: Final answer
    x = 933,964.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.