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Finding the Third Proportional to 685,003.50 and 1,479,766.50

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Solution

The third proportional to 685,003.50 and 1,479,766.50 is: 3,196,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,003.50 : 1,479,766.50 = 1,479,766.50 : x
  2. Step 2: Convert to fraction form
    685,003.50/1,479,766.50 = 1,479,766.50/x
  3. Step 3: Cross multiply
    685,003.50x = 1,479,766.50 × 1,479,766.50
  4. Step 4: Simplify right side
    685,003.50x = 2,189,708,894,522.25
  5. Step 5: Solve for x
    x = 2,189,708,894,522.25/685,003.50
  6. Step 6: Final answer
    x = 3,196,638.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.