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Finding the Third Proportional to 281,162 and 606,612

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Solution

The third proportional to 281,162 and 606,612 is: 1,308,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,162 : 606,612 = 606,612 : x
  2. Step 2: Convert to fraction form
    281,162/606,612 = 606,612/x
  3. Step 3: Cross multiply
    281,162x = 606,612 × 606,612
  4. Step 4: Simplify right side
    281,162x = 367,978,118,544
  5. Step 5: Solve for x
    x = 367,978,118,544/281,162
  6. Step 6: Final answer
    x = 1,308,776.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.