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Finding the Third Proportional to 414,036 and 623,127.38

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Solution

The third proportional to 414,036 and 623,127.38 is: 937,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,036 : 623,127.38 = 623,127.38 : x
  2. Step 2: Convert to fraction form
    414,036/623,127.38 = 623,127.38/x
  3. Step 3: Cross multiply
    414,036x = 623,127.38 × 623,127.38
  4. Step 4: Simplify right side
    414,036x = 388,287,725,474.39
  5. Step 5: Solve for x
    x = 388,287,725,474.39/414,036
  6. Step 6: Final answer
    x = 937,811.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.