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Finding the Third Proportional to 281,294 and 606,568

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Solution

The third proportional to 281,294 and 606,568 is: 1,307,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,294 : 606,568 = 606,568 : x
  2. Step 2: Convert to fraction form
    281,294/606,568 = 606,568/x
  3. Step 3: Cross multiply
    281,294x = 606,568 × 606,568
  4. Step 4: Simplify right side
    281,294x = 367,924,738,624
  5. Step 5: Solve for x
    x = 367,924,738,624/281,294
  6. Step 6: Final answer
    x = 1,307,972.22

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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.