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Finding the Third Proportional to 224,932 and 489,229

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Solution

The third proportional to 224,932 and 489,229 is: 1,064,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,932 : 489,229 = 489,229 : x
  2. Step 2: Convert to fraction form
    224,932/489,229 = 489,229/x
  3. Step 3: Cross multiply
    224,932x = 489,229 × 489,229
  4. Step 4: Simplify right side
    224,932x = 239,345,014,441
  5. Step 5: Solve for x
    x = 239,345,014,441/224,932
  6. Step 6: Final answer
    x = 1,064,077.21

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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.