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Finding the Third Proportional to 221,624 and 480,400

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Solution

The third proportional to 221,624 and 480,400 is: 1,041,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,624 : 480,400 = 480,400 : x
  2. Step 2: Convert to fraction form
    221,624/480,400 = 480,400/x
  3. Step 3: Cross multiply
    221,624x = 480,400 × 480,400
  4. Step 4: Simplify right side
    221,624x = 230,784,160,000
  5. Step 5: Solve for x
    x = 230,784,160,000/221,624
  6. Step 6: Final answer
    x = 1,041,331.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.