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Finding the Third Proportional to 215,253 and 469,847

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Solution

The third proportional to 215,253 and 469,847 is: 1,025,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,253 : 469,847 = 469,847 : x
  2. Step 2: Convert to fraction form
    215,253/469,847 = 469,847/x
  3. Step 3: Cross multiply
    215,253x = 469,847 × 469,847
  4. Step 4: Simplify right side
    215,253x = 220,756,203,409
  5. Step 5: Solve for x
    x = 220,756,203,409/215,253
  6. Step 6: Final answer
    x = 1,025,566.21

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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.