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Finding the Third Proportional to 215,672 and 469,126

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Solution

The third proportional to 215,672 and 469,126 is: 1,020,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,672 : 469,126 = 469,126 : x
  2. Step 2: Convert to fraction form
    215,672/469,126 = 469,126/x
  3. Step 3: Cross multiply
    215,672x = 469,126 × 469,126
  4. Step 4: Simplify right side
    215,672x = 220,079,203,876
  5. Step 5: Solve for x
    x = 220,079,203,876/215,672
  6. Step 6: Final answer
    x = 1,020,434.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.