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Finding the Third Proportional to 236,443 and 512,207

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Solution

The third proportional to 236,443 and 512,207 is: 1,109,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,443 : 512,207 = 512,207 : x
  2. Step 2: Convert to fraction form
    236,443/512,207 = 512,207/x
  3. Step 3: Cross multiply
    236,443x = 512,207 × 512,207
  4. Step 4: Simplify right side
    236,443x = 262,356,010,849
  5. Step 5: Solve for x
    x = 262,356,010,849/236,443
  6. Step 6: Final answer
    x = 1,109,595.17

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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.