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Finding the Third Proportional to 308,209.50 and 662,251.50

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Solution

The third proportional to 308,209.50 and 662,251.50 is: 1,422,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,209.50 : 662,251.50 = 662,251.50 : x
  2. Step 2: Convert to fraction form
    308,209.50/662,251.50 = 662,251.50/x
  3. Step 3: Cross multiply
    308,209.50x = 662,251.50 × 662,251.50
  4. Step 4: Simplify right side
    308,209.50x = 438,577,049,252.25
  5. Step 5: Solve for x
    x = 438,577,049,252.25/308,209.50
  6. Step 6: Final answer
    x = 1,422,983.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.