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Finding the Third Proportional to 353,592 and 763,195.50

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Solution

The third proportional to 353,592 and 763,195.50 is: 1,647,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,592 : 763,195.50 = 763,195.50 : x
  2. Step 2: Convert to fraction form
    353,592/763,195.50 = 763,195.50/x
  3. Step 3: Cross multiply
    353,592x = 763,195.50 × 763,195.50
  4. Step 4: Simplify right side
    353,592x = 582,467,371,220.25
  5. Step 5: Solve for x
    x = 582,467,371,220.25/353,592
  6. Step 6: Final answer
    x = 1,647,286.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.