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Finding the Third Proportional to 384,628.50 and 835,596

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Solution

The third proportional to 384,628.50 and 835,596 is: 1,815,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,628.50 : 835,596 = 835,596 : x
  2. Step 2: Convert to fraction form
    384,628.50/835,596 = 835,596/x
  3. Step 3: Cross multiply
    384,628.50x = 835,596 × 835,596
  4. Step 4: Simplify right side
    384,628.50x = 698,220,675,216
  5. Step 5: Solve for x
    x = 698,220,675,216/384,628.50
  6. Step 6: Final answer
    x = 1,815,311.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.