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Finding the Third Proportional to 382,446.75 and 840,385.50

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Solution

The third proportional to 382,446.75 and 840,385.50 is: 1,846,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,446.75 : 840,385.50 = 840,385.50 : x
  2. Step 2: Convert to fraction form
    382,446.75/840,385.50 = 840,385.50/x
  3. Step 3: Cross multiply
    382,446.75x = 840,385.50 × 840,385.50
  4. Step 4: Simplify right side
    382,446.75x = 706,247,788,610.25
  5. Step 5: Solve for x
    x = 706,247,788,610.25/382,446.75
  6. Step 6: Final answer
    x = 1,846,656.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.