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Finding the Third Proportional to 333,775 and 695,162

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Solution

The third proportional to 333,775 and 695,162 is: 1,447,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,775 : 695,162 = 695,162 : x
  2. Step 2: Convert to fraction form
    333,775/695,162 = 695,162/x
  3. Step 3: Cross multiply
    333,775x = 695,162 × 695,162
  4. Step 4: Simplify right side
    333,775x = 483,250,206,244
  5. Step 5: Solve for x
    x = 483,250,206,244/333,775
  6. Step 6: Final answer
    x = 1,447,832.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.