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Finding the Third Proportional to 236,426 and 512,901

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Solution

The third proportional to 236,426 and 512,901 is: 1,112,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,426 : 512,901 = 512,901 : x
  2. Step 2: Convert to fraction form
    236,426/512,901 = 512,901/x
  3. Step 3: Cross multiply
    236,426x = 512,901 × 512,901
  4. Step 4: Simplify right side
    236,426x = 263,067,435,801
  5. Step 5: Solve for x
    x = 263,067,435,801/236,426
  6. Step 6: Final answer
    x = 1,112,684.04

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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.