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Finding the Third Proportional to 414,684 and 623,610

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Solution

The third proportional to 414,684 and 623,610 is: 937,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,684 : 623,610 = 623,610 : x
  2. Step 2: Convert to fraction form
    414,684/623,610 = 623,610/x
  3. Step 3: Cross multiply
    414,684x = 623,610 × 623,610
  4. Step 4: Simplify right side
    414,684x = 388,889,432,100
  5. Step 5: Solve for x
    x = 388,889,432,100/414,684
  6. Step 6: Final answer
    x = 937,797.05

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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.