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Finding the Third Proportional to 275,320.50 and 581,745

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Solution

The third proportional to 275,320.50 and 581,745 is: 1,229,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,320.50 : 581,745 = 581,745 : x
  2. Step 2: Convert to fraction form
    275,320.50/581,745 = 581,745/x
  3. Step 3: Cross multiply
    275,320.50x = 581,745 × 581,745
  4. Step 4: Simplify right side
    275,320.50x = 338,427,245,025
  5. Step 5: Solve for x
    x = 338,427,245,025/275,320.50
  6. Step 6: Final answer
    x = 1,229,211.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.