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Finding the Third Proportional to 227,930.50 and 489,091

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Solution

The third proportional to 227,930.50 and 489,091 is: 1,049,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,930.50 : 489,091 = 489,091 : x
  2. Step 2: Convert to fraction form
    227,930.50/489,091 = 489,091/x
  3. Step 3: Cross multiply
    227,930.50x = 489,091 × 489,091
  4. Step 4: Simplify right side
    227,930.50x = 239,210,006,281
  5. Step 5: Solve for x
    x = 239,210,006,281/227,930.50
  6. Step 6: Final answer
    x = 1,049,486.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.