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Finding the Third Proportional to 224,830 and 489,318

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Solution

The third proportional to 224,830 and 489,318 is: 1,064,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,830 : 489,318 = 489,318 : x
  2. Step 2: Convert to fraction form
    224,830/489,318 = 489,318/x
  3. Step 3: Cross multiply
    224,830x = 489,318 × 489,318
  4. Step 4: Simplify right side
    224,830x = 239,432,105,124
  5. Step 5: Solve for x
    x = 239,432,105,124/224,830
  6. Step 6: Final answer
    x = 1,064,947.32

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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.