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Finding the Third Proportional to 327,824 and 464,280

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Solution

The third proportional to 327,824 and 464,280 is: 657,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,824 : 464,280 = 464,280 : x
  2. Step 2: Convert to fraction form
    327,824/464,280 = 464,280/x
  3. Step 3: Cross multiply
    327,824x = 464,280 × 464,280
  4. Step 4: Simplify right side
    327,824x = 215,555,918,400
  5. Step 5: Solve for x
    x = 215,555,918,400/327,824
  6. Step 6: Final answer
    x = 657,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.