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Finding the Third Proportional to 349,021.25 and 759,844.75

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Solution

The third proportional to 349,021.25 and 759,844.75 is: 1,654,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,021.25 : 759,844.75 = 759,844.75 : x
  2. Step 2: Convert to fraction form
    349,021.25/759,844.75 = 759,844.75/x
  3. Step 3: Cross multiply
    349,021.25x = 759,844.75 × 759,844.75
  4. Step 4: Simplify right side
    349,021.25x = 577,364,044,102.56
  5. Step 5: Solve for x
    x = 577,364,044,102.56/349,021.25
  6. Step 6: Final answer
    x = 1,654,237.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.