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Finding the Third Proportional to 224,601 and 492,267

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Solution

The third proportional to 224,601 and 492,267 is: 1,078,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,601 : 492,267 = 492,267 : x
  2. Step 2: Convert to fraction form
    224,601/492,267 = 492,267/x
  3. Step 3: Cross multiply
    224,601x = 492,267 × 492,267
  4. Step 4: Simplify right side
    224,601x = 242,326,799,289
  5. Step 5: Solve for x
    x = 242,326,799,289/224,601
  6. Step 6: Final answer
    x = 1,078,921.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.