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Finding the Third Proportional to 330,576 and 678,576

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Solution

The third proportional to 330,576 and 678,576 is: 1,392,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,576 : 678,576 = 678,576 : x
  2. Step 2: Convert to fraction form
    330,576/678,576 = 678,576/x
  3. Step 3: Cross multiply
    330,576x = 678,576 × 678,576
  4. Step 4: Simplify right side
    330,576x = 460,465,387,776
  5. Step 5: Solve for x
    x = 460,465,387,776/330,576
  6. Step 6: Final answer
    x = 1,392,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.