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Finding the Third Proportional to 508,189 and 743,182

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Solution

The third proportional to 508,189 and 743,182 is: 1,086,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,189 : 743,182 = 743,182 : x
  2. Step 2: Convert to fraction form
    508,189/743,182 = 743,182/x
  3. Step 3: Cross multiply
    508,189x = 743,182 × 743,182
  4. Step 4: Simplify right side
    508,189x = 552,319,485,124
  5. Step 5: Solve for x
    x = 552,319,485,124/508,189
  6. Step 6: Final answer
    x = 1,086,838.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.