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Finding the Third Proportional to 264,847.50 and 543,637.50

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Solution

The third proportional to 264,847.50 and 543,637.50 is: 1,115,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,847.50 : 543,637.50 = 543,637.50 : x
  2. Step 2: Convert to fraction form
    264,847.50/543,637.50 = 543,637.50/x
  3. Step 3: Cross multiply
    264,847.50x = 543,637.50 × 543,637.50
  4. Step 4: Simplify right side
    264,847.50x = 295,541,731,406.25
  5. Step 5: Solve for x
    x = 295,541,731,406.25/264,847.50
  6. Step 6: Final answer
    x = 1,115,893.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.