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Finding the Third Proportional to 221,481 and 483,556.50

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Solution

The third proportional to 221,481 and 483,556.50 is: 1,055,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,481 : 483,556.50 = 483,556.50 : x
  2. Step 2: Convert to fraction form
    221,481/483,556.50 = 483,556.50/x
  3. Step 3: Cross multiply
    221,481x = 483,556.50 × 483,556.50
  4. Step 4: Simplify right side
    221,481x = 233,826,888,692.25
  5. Step 5: Solve for x
    x = 233,826,888,692.25/221,481
  6. Step 6: Final answer
    x = 1,055,742.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.