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Finding the Third Proportional to 264,361 and 376,858.50

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Solution

The third proportional to 264,361 and 376,858.50 is: 537,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,361 : 376,858.50 = 376,858.50 : x
  2. Step 2: Convert to fraction form
    264,361/376,858.50 = 376,858.50/x
  3. Step 3: Cross multiply
    264,361x = 376,858.50 × 376,858.50
  4. Step 4: Simplify right side
    264,361x = 142,022,329,022.25
  5. Step 5: Solve for x
    x = 142,022,329,022.25/264,361
  6. Step 6: Final answer
    x = 537,228.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.