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Finding the Third Proportional to 325,808 and 504,476

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Solution

The third proportional to 325,808 and 504,476 is: 781,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,808 : 504,476 = 504,476 : x
  2. Step 2: Convert to fraction form
    325,808/504,476 = 504,476/x
  3. Step 3: Cross multiply
    325,808x = 504,476 × 504,476
  4. Step 4: Simplify right side
    325,808x = 254,496,034,576
  5. Step 5: Solve for x
    x = 254,496,034,576/325,808
  6. Step 6: Final answer
    x = 781,122.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.