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Finding the Third Proportional to 353,594 and 763,200

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Solution

The third proportional to 353,594 and 763,200 is: 1,647,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,594 : 763,200 = 763,200 : x
  2. Step 2: Convert to fraction form
    353,594/763,200 = 763,200/x
  3. Step 3: Cross multiply
    353,594x = 763,200 × 763,200
  4. Step 4: Simplify right side
    353,594x = 582,474,240,000
  5. Step 5: Solve for x
    x = 582,474,240,000/353,594
  6. Step 6: Final answer
    x = 1,647,296.73

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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.