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Finding the Third Proportional to 235,774 and 482,442

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Solution

The third proportional to 235,774 and 482,442 is: 987,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,774 : 482,442 = 482,442 : x
  2. Step 2: Convert to fraction form
    235,774/482,442 = 482,442/x
  3. Step 3: Cross multiply
    235,774x = 482,442 × 482,442
  4. Step 4: Simplify right side
    235,774x = 232,750,283,364
  5. Step 5: Solve for x
    x = 232,750,283,364/235,774
  6. Step 6: Final answer
    x = 987,175.36

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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.