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Finding the Third Proportional to 548,225.09 and 843,745.99

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Solution

The third proportional to 548,225.09 and 843,745.99 is: 1,298,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,225.09 : 843,745.99 = 843,745.99 : x
  2. Step 2: Convert to fraction form
    548,225.09/843,745.99 = 843,745.99/x
  3. Step 3: Cross multiply
    548,225.09x = 843,745.99 × 843,745.99
  4. Step 4: Simplify right side
    548,225.09x = 711,907,299,332.47
  5. Step 5: Solve for x
    x = 711,907,299,332.47/548,225.09
  6. Step 6: Final answer
    x = 1,298,567.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.