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Finding the Third Proportional to 322,971.75 and 695,301.75

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Solution

The third proportional to 322,971.75 and 695,301.75 is: 1,496,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,971.75 : 695,301.75 = 695,301.75 : x
  2. Step 2: Convert to fraction form
    322,971.75/695,301.75 = 695,301.75/x
  3. Step 3: Cross multiply
    322,971.75x = 695,301.75 × 695,301.75
  4. Step 4: Simplify right side
    322,971.75x = 483,444,523,553.06
  5. Step 5: Solve for x
    x = 483,444,523,553.06/322,971.75
  6. Step 6: Final answer
    x = 1,496,863.19

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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.