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Finding the Third Proportional to 322,928.44 and 695,217.94

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Solution

The third proportional to 322,928.44 and 695,217.94 is: 1,496,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,928.44 : 695,217.94 = 695,217.94 : x
  2. Step 2: Convert to fraction form
    322,928.44/695,217.94 = 695,217.94/x
  3. Step 3: Cross multiply
    322,928.44x = 695,217.94 × 695,217.94
  4. Step 4: Simplify right side
    322,928.44x = 483,327,980,621.75
  5. Step 5: Solve for x
    x = 483,327,980,621.75/322,928.44
  6. Step 6: Final answer
    x = 1,496,703.06

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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.