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Finding the Third Proportional to 353,596 and 763,676

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Solution

The third proportional to 353,596 and 763,676 is: 1,649,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,596 : 763,676 = 763,676 : x
  2. Step 2: Convert to fraction form
    353,596/763,676 = 763,676/x
  3. Step 3: Cross multiply
    353,596x = 763,676 × 763,676
  4. Step 4: Simplify right side
    353,596x = 583,201,032,976
  5. Step 5: Solve for x
    x = 583,201,032,976/353,596
  6. Step 6: Final answer
    x = 1,649,342.85

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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.