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Finding the Third Proportional to 224,690 and 489,053

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Solution

The third proportional to 224,690 and 489,053 is: 1,064,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,690 : 489,053 = 489,053 : x
  2. Step 2: Convert to fraction form
    224,690/489,053 = 489,053/x
  3. Step 3: Cross multiply
    224,690x = 489,053 × 489,053
  4. Step 4: Simplify right side
    224,690x = 239,172,836,809
  5. Step 5: Solve for x
    x = 239,172,836,809/224,690
  6. Step 6: Final answer
    x = 1,064,456.97

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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.