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Finding the Third Proportional to 300,729 and 648,469.50

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Solution

The third proportional to 300,729 and 648,469.50 is: 1,398,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,729 : 648,469.50 = 648,469.50 : x
  2. Step 2: Convert to fraction form
    300,729/648,469.50 = 648,469.50/x
  3. Step 3: Cross multiply
    300,729x = 648,469.50 × 648,469.50
  4. Step 4: Simplify right side
    300,729x = 420,512,692,430.25
  5. Step 5: Solve for x
    x = 420,512,692,430.25/300,729
  6. Step 6: Final answer
    x = 1,398,311.08

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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.