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Finding the Third Proportional to 421,292 and 646,016

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Solution

The third proportional to 421,292 and 646,016 is: 990,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,292 : 646,016 = 646,016 : x
  2. Step 2: Convert to fraction form
    421,292/646,016 = 646,016/x
  3. Step 3: Cross multiply
    421,292x = 646,016 × 646,016
  4. Step 4: Simplify right side
    421,292x = 417,336,672,256
  5. Step 5: Solve for x
    x = 417,336,672,256/421,292
  6. Step 6: Final answer
    x = 990,611.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.