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Finding the Third Proportional to 514,425.75 and 733,804.50

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Solution

The third proportional to 514,425.75 and 733,804.50 is: 1,046,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,425.75 : 733,804.50 = 733,804.50 : x
  2. Step 2: Convert to fraction form
    514,425.75/733,804.50 = 733,804.50/x
  3. Step 3: Cross multiply
    514,425.75x = 733,804.50 × 733,804.50
  4. Step 4: Simplify right side
    514,425.75x = 538,469,044,220.25
  5. Step 5: Solve for x
    x = 538,469,044,220.25/514,425.75
  6. Step 6: Final answer
    x = 1,046,738.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.