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Finding the Third Proportional to 224,164 and 480,872

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Solution

The third proportional to 224,164 and 480,872 is: 1,031,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,164 : 480,872 = 480,872 : x
  2. Step 2: Convert to fraction form
    224,164/480,872 = 480,872/x
  3. Step 3: Cross multiply
    224,164x = 480,872 × 480,872
  4. Step 4: Simplify right side
    224,164x = 231,237,880,384
  5. Step 5: Solve for x
    x = 231,237,880,384/224,164
  6. Step 6: Final answer
    x = 1,031,556.72

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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.