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Finding the Third Proportional to 274,130 and 430,126

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Solution

The third proportional to 274,130 and 430,126 is: 674,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,130 : 430,126 = 430,126 : x
  2. Step 2: Convert to fraction form
    274,130/430,126 = 430,126/x
  3. Step 3: Cross multiply
    274,130x = 430,126 × 430,126
  4. Step 4: Simplify right side
    274,130x = 185,008,375,876
  5. Step 5: Solve for x
    x = 185,008,375,876/274,130
  6. Step 6: Final answer
    x = 674,892.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.