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Finding the Third Proportional to 236,456 and 363,454

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Solution

The third proportional to 236,456 and 363,454 is: 558,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,456 : 363,454 = 363,454 : x
  2. Step 2: Convert to fraction form
    236,456/363,454 = 363,454/x
  3. Step 3: Cross multiply
    236,456x = 363,454 × 363,454
  4. Step 4: Simplify right side
    236,456x = 132,098,810,116
  5. Step 5: Solve for x
    x = 132,098,810,116/236,456
  6. Step 6: Final answer
    x = 558,661.27

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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.