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Finding the Third Proportional to 382,084.50 and 795,180

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Solution

The third proportional to 382,084.50 and 795,180 is: 1,654,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,084.50 : 795,180 = 795,180 : x
  2. Step 2: Convert to fraction form
    382,084.50/795,180 = 795,180/x
  3. Step 3: Cross multiply
    382,084.50x = 795,180 × 795,180
  4. Step 4: Simplify right side
    382,084.50x = 632,311,232,400
  5. Step 5: Solve for x
    x = 632,311,232,400/382,084.50
  6. Step 6: Final answer
    x = 1,654,898.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.