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Finding the Third Proportional to 224,564 and 480,244

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Solution

The third proportional to 224,564 and 480,244 is: 1,027,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564 : 480,244 = 480,244 : x
  2. Step 2: Convert to fraction form
    224,564/480,244 = 480,244/x
  3. Step 3: Cross multiply
    224,564x = 480,244 × 480,244
  4. Step 4: Simplify right side
    224,564x = 230,634,299,536
  5. Step 5: Solve for x
    x = 230,634,299,536/224,564
  6. Step 6: Final answer
    x = 1,027,031.49

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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.