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Finding the Third Proportional to 335,183 and 468,855

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Solution

The third proportional to 335,183 and 468,855 is: 655,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,183 : 468,855 = 468,855 : x
  2. Step 2: Convert to fraction form
    335,183/468,855 = 468,855/x
  3. Step 3: Cross multiply
    335,183x = 468,855 × 468,855
  4. Step 4: Simplify right side
    335,183x = 219,825,011,025
  5. Step 5: Solve for x
    x = 219,825,011,025/335,183
  6. Step 6: Final answer
    x = 655,835.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.