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Finding the Third Proportional to 264,839.63 and 377,279.44

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Solution

The third proportional to 264,839.63 and 377,279.44 is: 537,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,839.63 : 377,279.44 = 377,279.44 : x
  2. Step 2: Convert to fraction form
    264,839.63/377,279.44 = 377,279.44/x
  3. Step 3: Cross multiply
    264,839.63x = 377,279.44 × 377,279.44
  4. Step 4: Simplify right side
    264,839.63x = 142,339,773,960.32
  5. Step 5: Solve for x
    x = 142,339,773,960.32/264,839.63
  6. Step 6: Final answer
    x = 537,456.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.