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Finding the Third Proportional to 332,976 and 713,592

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Solution

The third proportional to 332,976 and 713,592 is: 1,529,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,976 : 713,592 = 713,592 : x
  2. Step 2: Convert to fraction form
    332,976/713,592 = 713,592/x
  3. Step 3: Cross multiply
    332,976x = 713,592 × 713,592
  4. Step 4: Simplify right side
    332,976x = 509,213,542,464
  5. Step 5: Solve for x
    x = 509,213,542,464/332,976
  6. Step 6: Final answer
    x = 1,529,280.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.