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Finding the Third Proportional to 221,998.50 and 479,475

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Solution

The third proportional to 221,998.50 and 479,475 is: 1,035,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,998.50 : 479,475 = 479,475 : x
  2. Step 2: Convert to fraction form
    221,998.50/479,475 = 479,475/x
  3. Step 3: Cross multiply
    221,998.50x = 479,475 × 479,475
  4. Step 4: Simplify right side
    221,998.50x = 229,896,275,625
  5. Step 5: Solve for x
    x = 229,896,275,625/221,998.50
  6. Step 6: Final answer
    x = 1,035,575.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.