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Finding the Third Proportional to 370,197 and 558,027

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Solution

The third proportional to 370,197 and 558,027 is: 841,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,197 : 558,027 = 558,027 : x
  2. Step 2: Convert to fraction form
    370,197/558,027 = 558,027/x
  3. Step 3: Cross multiply
    370,197x = 558,027 × 558,027
  4. Step 4: Simplify right side
    370,197x = 311,394,132,729
  5. Step 5: Solve for x
    x = 311,394,132,729/370,197
  6. Step 6: Final answer
    x = 841,157.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.