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Finding the Third Proportional to 215,226 and 424,944

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Solution

The third proportional to 215,226 and 424,944 is: 839,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,226 : 424,944 = 424,944 : x
  2. Step 2: Convert to fraction form
    215,226/424,944 = 424,944/x
  3. Step 3: Cross multiply
    215,226x = 424,944 × 424,944
  4. Step 4: Simplify right side
    215,226x = 180,577,403,136
  5. Step 5: Solve for x
    x = 180,577,403,136/215,226
  6. Step 6: Final answer
    x = 839,012.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.