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Finding the Third Proportional to 237,204 and 513,752

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Solution

The third proportional to 237,204 and 513,752 is: 1,112,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,204 : 513,752 = 513,752 : x
  2. Step 2: Convert to fraction form
    237,204/513,752 = 513,752/x
  3. Step 3: Cross multiply
    237,204x = 513,752 × 513,752
  4. Step 4: Simplify right side
    237,204x = 263,941,117,504
  5. Step 5: Solve for x
    x = 263,941,117,504/237,204
  6. Step 6: Final answer
    x = 1,112,717.82

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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.