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Finding the Third Proportional to 344,859.75 and 751,786.50

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Solution

The third proportional to 344,859.75 and 751,786.50 is: 1,638,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,859.75 : 751,786.50 = 751,786.50 : x
  2. Step 2: Convert to fraction form
    344,859.75/751,786.50 = 751,786.50/x
  3. Step 3: Cross multiply
    344,859.75x = 751,786.50 × 751,786.50
  4. Step 4: Simplify right side
    344,859.75x = 565,182,941,582.25
  5. Step 5: Solve for x
    x = 565,182,941,582.25/344,859.75
  6. Step 6: Final answer
    x = 1,638,877.66

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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.