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Finding the Third Proportional to 264,604.50 and 581,883

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Solution

The third proportional to 264,604.50 and 581,883 is: 1,279,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,604.50 : 581,883 = 581,883 : x
  2. Step 2: Convert to fraction form
    264,604.50/581,883 = 581,883/x
  3. Step 3: Cross multiply
    264,604.50x = 581,883 × 581,883
  4. Step 4: Simplify right side
    264,604.50x = 338,587,825,689
  5. Step 5: Solve for x
    x = 338,587,825,689/264,604.50
  6. Step 6: Final answer
    x = 1,279,599.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.