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Finding the Third Proportional to 548,224 and 843,745

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Solution

The third proportional to 548,224 and 843,745 is: 1,298,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,224 : 843,745 = 843,745 : x
  2. Step 2: Convert to fraction form
    548,224/843,745 = 843,745/x
  3. Step 3: Cross multiply
    548,224x = 843,745 × 843,745
  4. Step 4: Simplify right side
    548,224x = 711,905,625,025
  5. Step 5: Solve for x
    x = 711,905,625,025/548,224
  6. Step 6: Final answer
    x = 1,298,567.05

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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.