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Finding the Third Proportional to 325,340 and 519,476

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Solution

The third proportional to 325,340 and 519,476 is: 829,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,340 : 519,476 = 519,476 : x
  2. Step 2: Convert to fraction form
    325,340/519,476 = 519,476/x
  3. Step 3: Cross multiply
    325,340x = 519,476 × 519,476
  4. Step 4: Simplify right side
    325,340x = 269,855,314,576
  5. Step 5: Solve for x
    x = 269,855,314,576/325,340
  6. Step 6: Final answer
    x = 829,456.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.