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Finding the Third Proportional to 353,595 and 763,674

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Solution

The third proportional to 353,595 and 763,674 is: 1,649,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,595 : 763,674 = 763,674 : x
  2. Step 2: Convert to fraction form
    353,595/763,674 = 763,674/x
  3. Step 3: Cross multiply
    353,595x = 763,674 × 763,674
  4. Step 4: Simplify right side
    353,595x = 583,197,978,276
  5. Step 5: Solve for x
    x = 583,197,978,276/353,595
  6. Step 6: Final answer
    x = 1,649,338.87

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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.