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Finding the Third Proportional to 227,929.50 and 489,089

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Solution

The third proportional to 227,929.50 and 489,089 is: 1,049,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,929.50 : 489,089 = 489,089 : x
  2. Step 2: Convert to fraction form
    227,929.50/489,089 = 489,089/x
  3. Step 3: Cross multiply
    227,929.50x = 489,089 × 489,089
  4. Step 4: Simplify right side
    227,929.50x = 239,208,049,921
  5. Step 5: Solve for x
    x = 239,208,049,921/227,929.50
  6. Step 6: Final answer
    x = 1,049,482.62

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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.