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Finding the Third Proportional to 356,845.50 and 765,571.50

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Solution

The third proportional to 356,845.50 and 765,571.50 is: 1,642,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,845.50 : 765,571.50 = 765,571.50 : x
  2. Step 2: Convert to fraction form
    356,845.50/765,571.50 = 765,571.50/x
  3. Step 3: Cross multiply
    356,845.50x = 765,571.50 × 765,571.50
  4. Step 4: Simplify right side
    356,845.50x = 586,099,721,612.25
  5. Step 5: Solve for x
    x = 586,099,721,612.25/356,845.50
  6. Step 6: Final answer
    x = 1,642,446.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.