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Finding the Third Proportional to 224,979 and 489,323

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Solution

The third proportional to 224,979 and 489,323 is: 1,064,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,979 : 489,323 = 489,323 : x
  2. Step 2: Convert to fraction form
    224,979/489,323 = 489,323/x
  3. Step 3: Cross multiply
    224,979x = 489,323 × 489,323
  4. Step 4: Simplify right side
    224,979x = 239,436,998,329
  5. Step 5: Solve for x
    x = 239,436,998,329/224,979
  6. Step 6: Final answer
    x = 1,064,263.77

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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.