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Finding the Third Proportional to 281,310 and 606,606

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Solution

The third proportional to 281,310 and 606,606 is: 1,308,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,310 : 606,606 = 606,606 : x
  2. Step 2: Convert to fraction form
    281,310/606,606 = 606,606/x
  3. Step 3: Cross multiply
    281,310x = 606,606 × 606,606
  4. Step 4: Simplify right side
    281,310x = 367,970,839,236
  5. Step 5: Solve for x
    x = 367,970,839,236/281,310
  6. Step 6: Final answer
    x = 1,308,061.71

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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.