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Finding the Third Proportional to 366,883 and 489,224

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Solution

The third proportional to 366,883 and 489,224 is: 652,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,883 : 489,224 = 489,224 : x
  2. Step 2: Convert to fraction form
    366,883/489,224 = 489,224/x
  3. Step 3: Cross multiply
    366,883x = 489,224 × 489,224
  4. Step 4: Simplify right side
    366,883x = 239,340,122,176
  5. Step 5: Solve for x
    x = 239,340,122,176/366,883
  6. Step 6: Final answer
    x = 652,360.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.