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Finding the Third Proportional to 377,308.50 and 536,442.75

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Solution

The third proportional to 377,308.50 and 536,442.75 is: 762,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,308.50 : 536,442.75 = 536,442.75 : x
  2. Step 2: Convert to fraction form
    377,308.50/536,442.75 = 536,442.75/x
  3. Step 3: Cross multiply
    377,308.50x = 536,442.75 × 536,442.75
  4. Step 4: Simplify right side
    377,308.50x = 287,770,824,027.56
  5. Step 5: Solve for x
    x = 287,770,824,027.56/377,308.50
  6. Step 6: Final answer
    x = 762,693.72

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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.