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Finding the Third Proportional to 236,471 and 363,455

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Solution

The third proportional to 236,471 and 363,455 is: 558,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,471 : 363,455 = 363,455 : x
  2. Step 2: Convert to fraction form
    236,471/363,455 = 363,455/x
  3. Step 3: Cross multiply
    236,471x = 363,455 × 363,455
  4. Step 4: Simplify right side
    236,471x = 132,099,537,025
  5. Step 5: Solve for x
    x = 132,099,537,025/236,471
  6. Step 6: Final answer
    x = 558,628.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.