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Finding the Third Proportional to 379,684 and 835,160

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Solution

The third proportional to 379,684 and 835,160 is: 1,837,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,684 : 835,160 = 835,160 : x
  2. Step 2: Convert to fraction form
    379,684/835,160 = 835,160/x
  3. Step 3: Cross multiply
    379,684x = 835,160 × 835,160
  4. Step 4: Simplify right side
    379,684x = 697,492,225,600
  5. Step 5: Solve for x
    x = 697,492,225,600/379,684
  6. Step 6: Final answer
    x = 1,837,033.50

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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.