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Finding the Third Proportional to 356,359.50 and 768,415.50

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Solution

The third proportional to 356,359.50 and 768,415.50 is: 1,656,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,359.50 : 768,415.50 = 768,415.50 : x
  2. Step 2: Convert to fraction form
    356,359.50/768,415.50 = 768,415.50/x
  3. Step 3: Cross multiply
    356,359.50x = 768,415.50 × 768,415.50
  4. Step 4: Simplify right side
    356,359.50x = 590,462,380,640.25
  5. Step 5: Solve for x
    x = 590,462,380,640.25/356,359.50
  6. Step 6: Final answer
    x = 1,656,928.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.