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Finding the Third Proportional to 279,960 and 606,576

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Solution

The third proportional to 279,960 and 606,576 is: 1,314,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,960 : 606,576 = 606,576 : x
  2. Step 2: Convert to fraction form
    279,960/606,576 = 606,576/x
  3. Step 3: Cross multiply
    279,960x = 606,576 × 606,576
  4. Step 4: Simplify right side
    279,960x = 367,934,443,776
  5. Step 5: Solve for x
    x = 367,934,443,776/279,960
  6. Step 6: Final answer
    x = 1,314,239.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.