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Finding the Third Proportional to 269,363.75 and 401,710

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Solution

The third proportional to 269,363.75 and 401,710 is: 599,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,363.75 : 401,710 = 401,710 : x
  2. Step 2: Convert to fraction form
    269,363.75/401,710 = 401,710/x
  3. Step 3: Cross multiply
    269,363.75x = 401,710 × 401,710
  4. Step 4: Simplify right side
    269,363.75x = 161,370,924,100
  5. Step 5: Solve for x
    x = 161,370,924,100/269,363.75
  6. Step 6: Final answer
    x = 599,081.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.