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Finding the Third Proportional to 413,292 and 632,251

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Solution

The third proportional to 413,292 and 632,251 is: 967,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,292 : 632,251 = 632,251 : x
  2. Step 2: Convert to fraction form
    413,292/632,251 = 632,251/x
  3. Step 3: Cross multiply
    413,292x = 632,251 × 632,251
  4. Step 4: Simplify right side
    413,292x = 399,741,327,001
  5. Step 5: Solve for x
    x = 399,741,327,001/413,292
  6. Step 6: Final answer
    x = 967,212.83

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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.