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Finding the Third Proportional to 224,832 and 489,322

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Solution

The third proportional to 224,832 and 489,322 is: 1,064,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,832 : 489,322 = 489,322 : x
  2. Step 2: Convert to fraction form
    224,832/489,322 = 489,322/x
  3. Step 3: Cross multiply
    224,832x = 489,322 × 489,322
  4. Step 4: Simplify right side
    224,832x = 239,436,019,684
  5. Step 5: Solve for x
    x = 239,436,019,684/224,832
  6. Step 6: Final answer
    x = 1,064,955.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.