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Finding the Third Proportional to 342,949.50 and 489,201.75

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Solution

The third proportional to 342,949.50 and 489,201.75 is: 697,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,949.50 : 489,201.75 = 489,201.75 : x
  2. Step 2: Convert to fraction form
    342,949.50/489,201.75 = 489,201.75/x
  3. Step 3: Cross multiply
    342,949.50x = 489,201.75 × 489,201.75
  4. Step 4: Simplify right side
    342,949.50x = 239,318,352,203.06
  5. Step 5: Solve for x
    x = 239,318,352,203.06/342,949.50
  6. Step 6: Final answer
    x = 697,823.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.