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Finding the Third Proportional to 236,590.88 and 513,112.22

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Solution

The third proportional to 236,590.88 and 513,112.22 is: 1,112,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,590.88 : 513,112.22 = 513,112.22 : x
  2. Step 2: Convert to fraction form
    236,590.88/513,112.22 = 513,112.22/x
  3. Step 3: Cross multiply
    236,590.88x = 513,112.22 × 513,112.22
  4. Step 4: Simplify right side
    236,590.88x = 263,284,149,030.55
  5. Step 5: Solve for x
    x = 263,284,149,030.55/236,590.88
  6. Step 6: Final answer
    x = 1,112,824.61

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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.