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Finding the Third Proportional to 263,964 and 622,464

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Solution

The third proportional to 263,964 and 622,464 is: 1,467,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,964 : 622,464 = 622,464 : x
  2. Step 2: Convert to fraction form
    263,964/622,464 = 622,464/x
  3. Step 3: Cross multiply
    263,964x = 622,464 × 622,464
  4. Step 4: Simplify right side
    263,964x = 387,461,431,296
  5. Step 5: Solve for x
    x = 387,461,431,296/263,964
  6. Step 6: Final answer
    x = 1,467,857.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.