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Finding the Third Proportional to 224,446 and 480,419

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Solution

The third proportional to 224,446 and 480,419 is: 1,028,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,446 : 480,419 = 480,419 : x
  2. Step 2: Convert to fraction form
    224,446/480,419 = 480,419/x
  3. Step 3: Cross multiply
    224,446x = 480,419 × 480,419
  4. Step 4: Simplify right side
    224,446x = 230,802,415,561
  5. Step 5: Solve for x
    x = 230,802,415,561/224,446
  6. Step 6: Final answer
    x = 1,028,320.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.