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Finding the Third Proportional to 264,443.63 and 581,375.25

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Solution

The third proportional to 264,443.63 and 581,375.25 is: 1,278,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,443.63 : 581,375.25 = 581,375.25 : x
  2. Step 2: Convert to fraction form
    264,443.63/581,375.25 = 581,375.25/x
  3. Step 3: Cross multiply
    264,443.63x = 581,375.25 × 581,375.25
  4. Step 4: Simplify right side
    264,443.63x = 337,997,181,312.56
  5. Step 5: Solve for x
    x = 337,997,181,312.56/264,443.63
  6. Step 6: Final answer
    x = 1,278,144.56

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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.