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Finding the Third Proportional to 262,624 and 512,126

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Solution

The third proportional to 262,624 and 512,126 is: 998,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,624 : 512,126 = 512,126 : x
  2. Step 2: Convert to fraction form
    262,624/512,126 = 512,126/x
  3. Step 3: Cross multiply
    262,624x = 512,126 × 512,126
  4. Step 4: Simplify right side
    262,624x = 262,273,039,876
  5. Step 5: Solve for x
    x = 262,273,039,876/262,624
  6. Step 6: Final answer
    x = 998,663.64

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.