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Finding the Third Proportional to 351,731 and 544,407

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Solution

The third proportional to 351,731 and 544,407 is: 842,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,731 : 544,407 = 544,407 : x
  2. Step 2: Convert to fraction form
    351,731/544,407 = 544,407/x
  3. Step 3: Cross multiply
    351,731x = 544,407 × 544,407
  4. Step 4: Simplify right side
    351,731x = 296,378,981,649
  5. Step 5: Solve for x
    x = 296,378,981,649/351,731
  6. Step 6: Final answer
    x = 842,629.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.