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Finding the Third Proportional to 269,965.50 and 590,781

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Solution

The third proportional to 269,965.50 and 590,781 is: 1,292,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,965.50 : 590,781 = 590,781 : x
  2. Step 2: Convert to fraction form
    269,965.50/590,781 = 590,781/x
  3. Step 3: Cross multiply
    269,965.50x = 590,781 × 590,781
  4. Step 4: Simplify right side
    269,965.50x = 349,022,189,961
  5. Step 5: Solve for x
    x = 349,022,189,961/269,965.50
  6. Step 6: Final answer
    x = 1,292,839.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.