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Finding the Third Proportional to 550,491.75 and 843,234.75

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Solution

The third proportional to 550,491.75 and 843,234.75 is: 1,291,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,491.75 : 843,234.75 = 843,234.75 : x
  2. Step 2: Convert to fraction form
    550,491.75/843,234.75 = 843,234.75/x
  3. Step 3: Cross multiply
    550,491.75x = 843,234.75 × 843,234.75
  4. Step 4: Simplify right side
    550,491.75x = 711,044,843,607.56
  5. Step 5: Solve for x
    x = 711,044,843,607.56/550,491.75
  6. Step 6: Final answer
    x = 1,291,653.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.