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Finding the Third Proportional to 236,588.98 and 513,110.64

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Solution

The third proportional to 236,588.98 and 513,110.64 is: 1,112,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,588.98 : 513,110.64 = 513,110.64 : x
  2. Step 2: Convert to fraction form
    236,588.98/513,110.64 = 513,110.64/x
  3. Step 3: Cross multiply
    236,588.98x = 513,110.64 × 513,110.64
  4. Step 4: Simplify right side
    236,588.98x = 263,282,525,513.92
  5. Step 5: Solve for x
    x = 263,282,525,513.92/236,588.98
  6. Step 6: Final answer
    x = 1,112,826.68

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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.