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Finding the Third Proportional to 290,250 and 682,965

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Solution

The third proportional to 290,250 and 682,965 is: 1,607,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,250 : 682,965 = 682,965 : x
  2. Step 2: Convert to fraction form
    290,250/682,965 = 682,965/x
  3. Step 3: Cross multiply
    290,250x = 682,965 × 682,965
  4. Step 4: Simplify right side
    290,250x = 466,441,191,225
  5. Step 5: Solve for x
    x = 466,441,191,225/290,250
  6. Step 6: Final answer
    x = 1,607,032.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.