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Finding the Third Proportional to 297,756 and 648,960

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Solution

The third proportional to 297,756 and 648,960 is: 1,414,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,756 : 648,960 = 648,960 : x
  2. Step 2: Convert to fraction form
    297,756/648,960 = 648,960/x
  3. Step 3: Cross multiply
    297,756x = 648,960 × 648,960
  4. Step 4: Simplify right side
    297,756x = 421,149,081,600
  5. Step 5: Solve for x
    x = 421,149,081,600/297,756
  6. Step 6: Final answer
    x = 1,414,410.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.