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Finding the Third Proportional to 213,301.50 and 452,847

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Solution

The third proportional to 213,301.50 and 452,847 is: 961,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,301.50 : 452,847 = 452,847 : x
  2. Step 2: Convert to fraction form
    213,301.50/452,847 = 452,847/x
  3. Step 3: Cross multiply
    213,301.50x = 452,847 × 452,847
  4. Step 4: Simplify right side
    213,301.50x = 205,070,405,409
  5. Step 5: Solve for x
    x = 205,070,405,409/213,301.50
  6. Step 6: Final answer
    x = 961,410.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.