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Finding the Third Proportional to 236,463 and 513,114

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Solution

The third proportional to 236,463 and 513,114 is: 1,113,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,463 : 513,114 = 513,114 : x
  2. Step 2: Convert to fraction form
    236,463/513,114 = 513,114/x
  3. Step 3: Cross multiply
    236,463x = 513,114 × 513,114
  4. Step 4: Simplify right side
    236,463x = 263,285,976,996
  5. Step 5: Solve for x
    x = 263,285,976,996/236,463
  6. Step 6: Final answer
    x = 1,113,434.14

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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.