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Finding the Third Proportional to 236,445.75 and 512,961.19

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Solution

The third proportional to 236,445.75 and 512,961.19 is: 1,112,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,445.75 : 512,961.19 = 512,961.19 : x
  2. Step 2: Convert to fraction form
    236,445.75/512,961.19 = 512,961.19/x
  3. Step 3: Cross multiply
    236,445.75x = 512,961.19 × 512,961.19
  4. Step 4: Simplify right side
    236,445.75x = 263,129,179,881.41
  5. Step 5: Solve for x
    x = 263,129,179,881.41/236,445.75
  6. Step 6: Final answer
    x = 1,112,852.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.