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Finding the Third Proportional to 223,958.25 and 491,602.50

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Solution

The third proportional to 223,958.25 and 491,602.50 is: 1,079,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,958.25 : 491,602.50 = 491,602.50 : x
  2. Step 2: Convert to fraction form
    223,958.25/491,602.50 = 491,602.50/x
  3. Step 3: Cross multiply
    223,958.25x = 491,602.50 × 491,602.50
  4. Step 4: Simplify right side
    223,958.25x = 241,673,018,006.25
  5. Step 5: Solve for x
    x = 241,673,018,006.25/223,958.25
  6. Step 6: Final answer
    x = 1,079,098.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.