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Finding the Third Proportional to 384,793.50 and 835,290

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Solution

The third proportional to 384,793.50 and 835,290 is: 1,813,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,793.50 : 835,290 = 835,290 : x
  2. Step 2: Convert to fraction form
    384,793.50/835,290 = 835,290/x
  3. Step 3: Cross multiply
    384,793.50x = 835,290 × 835,290
  4. Step 4: Simplify right side
    384,793.50x = 697,709,384,100
  5. Step 5: Solve for x
    x = 697,709,384,100/384,793.50
  6. Step 6: Final answer
    x = 1,813,204.70

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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.