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Finding the Third Proportional to 384,000.75 and 826,868.25

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Solution

The third proportional to 384,000.75 and 826,868.25 is: 1,780,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.75 : 826,868.25 = 826,868.25 : x
  2. Step 2: Convert to fraction form
    384,000.75/826,868.25 = 826,868.25/x
  3. Step 3: Cross multiply
    384,000.75x = 826,868.25 × 826,868.25
  4. Step 4: Simplify right side
    384,000.75x = 683,711,102,858.06
  5. Step 5: Solve for x
    x = 683,711,102,858.06/384,000.75
  6. Step 6: Final answer
    x = 1,780,494.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.