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Finding the Third Proportional to 224,955 and 489,276

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Solution

The third proportional to 224,955 and 489,276 is: 1,064,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,955 : 489,276 = 489,276 : x
  2. Step 2: Convert to fraction form
    224,955/489,276 = 489,276/x
  3. Step 3: Cross multiply
    224,955x = 489,276 × 489,276
  4. Step 4: Simplify right side
    224,955x = 239,391,004,176
  5. Step 5: Solve for x
    x = 239,391,004,176/224,955
  6. Step 6: Final answer
    x = 1,064,172.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.