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Finding the Third Proportional to 414,672 and 623,589

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Solution

The third proportional to 414,672 and 623,589 is: 937,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,672 : 623,589 = 623,589 : x
  2. Step 2: Convert to fraction form
    414,672/623,589 = 623,589/x
  3. Step 3: Cross multiply
    414,672x = 623,589 × 623,589
  4. Step 4: Simplify right side
    414,672x = 388,863,240,921
  5. Step 5: Solve for x
    x = 388,863,240,921/414,672
  6. Step 6: Final answer
    x = 937,761.03

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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.