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Finding the Third Proportional to 414,462 and 623,232

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Solution

The third proportional to 414,462 and 623,232 is: 937,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,462 : 623,232 = 623,232 : x
  2. Step 2: Convert to fraction form
    414,462/623,232 = 623,232/x
  3. Step 3: Cross multiply
    414,462x = 623,232 × 623,232
  4. Step 4: Simplify right side
    414,462x = 388,418,125,824
  5. Step 5: Solve for x
    x = 388,418,125,824/414,462
  6. Step 6: Final answer
    x = 937,162.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.