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Finding the Third Proportional to 221,041.50 and 482,559

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Solution

The third proportional to 221,041.50 and 482,559 is: 1,053,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,041.50 : 482,559 = 482,559 : x
  2. Step 2: Convert to fraction form
    221,041.50/482,559 = 482,559/x
  3. Step 3: Cross multiply
    221,041.50x = 482,559 × 482,559
  4. Step 4: Simplify right side
    221,041.50x = 232,863,188,481
  5. Step 5: Solve for x
    x = 232,863,188,481/221,041.50
  6. Step 6: Final answer
    x = 1,053,481.76

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Why These Related Problems?

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