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Finding the Third Proportional to 221,271.43 and 474,801.12

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Solution

The third proportional to 221,271.43 and 474,801.12 is: 1,018,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,271.43 : 474,801.12 = 474,801.12 : x
  2. Step 2: Convert to fraction form
    221,271.43/474,801.12 = 474,801.12/x
  3. Step 3: Cross multiply
    221,271.43x = 474,801.12 × 474,801.12
  4. Step 4: Simplify right side
    221,271.43x = 225,436,100,882.50
  5. Step 5: Solve for x
    x = 225,436,100,882.50/221,271.43
  6. Step 6: Final answer
    x = 1,018,821.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.