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Finding the Third Proportional to 308,935.50 and 464,982.75

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Solution

The third proportional to 308,935.50 and 464,982.75 is: 699,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,935.50 : 464,982.75 = 464,982.75 : x
  2. Step 2: Convert to fraction form
    308,935.50/464,982.75 = 464,982.75/x
  3. Step 3: Cross multiply
    308,935.50x = 464,982.75 × 464,982.75
  4. Step 4: Simplify right side
    308,935.50x = 216,208,957,797.56
  5. Step 5: Solve for x
    x = 216,208,957,797.56/308,935.50
  6. Step 6: Final answer
    x = 699,851.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.