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Finding the Third Proportional to 235,755 and 482,405

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Solution

The third proportional to 235,755 and 482,405 is: 987,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,755 : 482,405 = 482,405 : x
  2. Step 2: Convert to fraction form
    235,755/482,405 = 482,405/x
  3. Step 3: Cross multiply
    235,755x = 482,405 × 482,405
  4. Step 4: Simplify right side
    235,755x = 232,714,584,025
  5. Step 5: Solve for x
    x = 232,714,584,025/235,755
  6. Step 6: Final answer
    x = 987,103.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.