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Finding the Third Proportional to 548,222.24 and 843,742.04

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Solution

The third proportional to 548,222.24 and 843,742.04 is: 1,298,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,222.24 : 843,742.04 = 843,742.04 : x
  2. Step 2: Convert to fraction form
    548,222.24/843,742.04 = 843,742.04/x
  3. Step 3: Cross multiply
    548,222.24x = 843,742.04 × 843,742.04
  4. Step 4: Simplify right side
    548,222.24x = 711,900,625,185.49
  5. Step 5: Solve for x
    x = 711,900,625,185.49/548,222.24
  6. Step 6: Final answer
    x = 1,298,562.11

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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.