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Finding the Third Proportional to 275,302.50 and 609,563.25

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Solution

The third proportional to 275,302.50 and 609,563.25 is: 1,349,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,302.50 : 609,563.25 = 609,563.25 : x
  2. Step 2: Convert to fraction form
    275,302.50/609,563.25 = 609,563.25/x
  3. Step 3: Cross multiply
    275,302.50x = 609,563.25 × 609,563.25
  4. Step 4: Simplify right side
    275,302.50x = 371,567,355,750.56
  5. Step 5: Solve for x
    x = 371,567,355,750.56/275,302.50
  6. Step 6: Final answer
    x = 1,349,669.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.