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Finding the Third Proportional to 236,407 and 512,192

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Solution

The third proportional to 236,407 and 512,192 is: 1,109,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,407 : 512,192 = 512,192 : x
  2. Step 2: Convert to fraction form
    236,407/512,192 = 512,192/x
  3. Step 3: Cross multiply
    236,407x = 512,192 × 512,192
  4. Step 4: Simplify right side
    236,407x = 262,340,644,864
  5. Step 5: Solve for x
    x = 262,340,644,864/236,407
  6. Step 6: Final answer
    x = 1,109,699.14

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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.