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Finding the Third Proportional to 340,296 and 738,576

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Solution

The third proportional to 340,296 and 738,576 is: 1,603,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,296 : 738,576 = 738,576 : x
  2. Step 2: Convert to fraction form
    340,296/738,576 = 738,576/x
  3. Step 3: Cross multiply
    340,296x = 738,576 × 738,576
  4. Step 4: Simplify right side
    340,296x = 545,494,507,776
  5. Step 5: Solve for x
    x = 545,494,507,776/340,296
  6. Step 6: Final answer
    x = 1,603,000.06

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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.