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Finding the Third Proportional to 344,296 and 742,976

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Solution

The third proportional to 344,296 and 742,976 is: 1,603,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,296 : 742,976 = 742,976 : x
  2. Step 2: Convert to fraction form
    344,296/742,976 = 742,976/x
  3. Step 3: Cross multiply
    344,296x = 742,976 × 742,976
  4. Step 4: Simplify right side
    344,296x = 552,013,336,576
  5. Step 5: Solve for x
    x = 552,013,336,576/344,296
  6. Step 6: Final answer
    x = 1,603,310.34

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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.