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Finding the Third Proportional to 300,226.50 and 648,567

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Solution

The third proportional to 300,226.50 and 648,567 is: 1,401,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,226.50 : 648,567 = 648,567 : x
  2. Step 2: Convert to fraction form
    300,226.50/648,567 = 648,567/x
  3. Step 3: Cross multiply
    300,226.50x = 648,567 × 648,567
  4. Step 4: Simplify right side
    300,226.50x = 420,639,153,489
  5. Step 5: Solve for x
    x = 420,639,153,489/300,226.50
  6. Step 6: Final answer
    x = 1,401,072.70

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Why These Related Problems?

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