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Finding the Third Proportional to 221,877 and 485,734.50

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Solution

The third proportional to 221,877 and 485,734.50 is: 1,063,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,877 : 485,734.50 = 485,734.50 : x
  2. Step 2: Convert to fraction form
    221,877/485,734.50 = 485,734.50/x
  3. Step 3: Cross multiply
    221,877x = 485,734.50 × 485,734.50
  4. Step 4: Simplify right side
    221,877x = 235,938,004,490.25
  5. Step 5: Solve for x
    x = 235,938,004,490.25/221,877
  6. Step 6: Final answer
    x = 1,063,372.97

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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.