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Finding the Third Proportional to 229,891.50 and 491,211

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Solution

The third proportional to 229,891.50 and 491,211 is: 1,049,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,891.50 : 491,211 = 491,211 : x
  2. Step 2: Convert to fraction form
    229,891.50/491,211 = 491,211/x
  3. Step 3: Cross multiply
    229,891.50x = 491,211 × 491,211
  4. Step 4: Simplify right side
    229,891.50x = 241,288,246,521
  5. Step 5: Solve for x
    x = 241,288,246,521/229,891.50
  6. Step 6: Final answer
    x = 1,049,574.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.