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Finding the Third Proportional to 227,675.25 and 489,793.50

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Solution

The third proportional to 227,675.25 and 489,793.50 is: 1,053,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,675.25 : 489,793.50 = 489,793.50 : x
  2. Step 2: Convert to fraction form
    227,675.25/489,793.50 = 489,793.50/x
  3. Step 3: Cross multiply
    227,675.25x = 489,793.50 × 489,793.50
  4. Step 4: Simplify right side
    227,675.25x = 239,897,672,642.25
  5. Step 5: Solve for x
    x = 239,897,672,642.25/227,675.25
  6. Step 6: Final answer
    x = 1,053,683.58

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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.