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Finding the Third Proportional to 281,914 and 614,723

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Solution

The third proportional to 281,914 and 614,723 is: 1,340,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,914 : 614,723 = 614,723 : x
  2. Step 2: Convert to fraction form
    281,914/614,723 = 614,723/x
  3. Step 3: Cross multiply
    281,914x = 614,723 × 614,723
  4. Step 4: Simplify right side
    281,914x = 377,884,366,729
  5. Step 5: Solve for x
    x = 377,884,366,729/281,914
  6. Step 6: Final answer
    x = 1,340,424.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.