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Finding the Third Proportional to 327,404.50 and 489,090

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Solution

The third proportional to 327,404.50 and 489,090 is: 730,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,404.50 : 489,090 = 489,090 : x
  2. Step 2: Convert to fraction form
    327,404.50/489,090 = 489,090/x
  3. Step 3: Cross multiply
    327,404.50x = 489,090 × 489,090
  4. Step 4: Simplify right side
    327,404.50x = 239,209,028,100
  5. Step 5: Solve for x
    x = 239,209,028,100/327,404.50
  6. Step 6: Final answer
    x = 730,622.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.