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Finding the Third Proportional to 322,965 and 695,286

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Solution

The third proportional to 322,965 and 695,286 is: 1,496,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,965 : 695,286 = 695,286 : x
  2. Step 2: Convert to fraction form
    322,965/695,286 = 695,286/x
  3. Step 3: Cross multiply
    322,965x = 695,286 × 695,286
  4. Step 4: Simplify right side
    322,965x = 483,422,621,796
  5. Step 5: Solve for x
    x = 483,422,621,796/322,965
  6. Step 6: Final answer
    x = 1,496,826.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.