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Finding the Third Proportional to 213,183 and 466,456.50

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Solution

The third proportional to 213,183 and 466,456.50 is: 1,020,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,183 : 466,456.50 = 466,456.50 : x
  2. Step 2: Convert to fraction form
    213,183/466,456.50 = 466,456.50/x
  3. Step 3: Cross multiply
    213,183x = 466,456.50 × 466,456.50
  4. Step 4: Simplify right side
    213,183x = 217,581,666,392.25
  5. Step 5: Solve for x
    x = 217,581,666,392.25/213,183
  6. Step 6: Final answer
    x = 1,020,633.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.