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Finding the Third Proportional to 414,035.44 and 623,125.69

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Solution

The third proportional to 414,035.44 and 623,125.69 is: 937,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,035.44 : 623,125.69 = 623,125.69 : x
  2. Step 2: Convert to fraction form
    414,035.44/623,125.69 = 623,125.69/x
  3. Step 3: Cross multiply
    414,035.44x = 623,125.69 × 623,125.69
  4. Step 4: Simplify right side
    414,035.44x = 388,285,622,422.35
  5. Step 5: Solve for x
    x = 388,285,622,422.35/414,035.44
  6. Step 6: Final answer
    x = 937,807.70

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