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Finding the Third Proportional to 207,659.81 and 488,936.25

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Solution

The third proportional to 207,659.81 and 488,936.25 is: 1,151,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,659.81 : 488,936.25 = 488,936.25 : x
  2. Step 2: Convert to fraction form
    207,659.81/488,936.25 = 488,936.25/x
  3. Step 3: Cross multiply
    207,659.81x = 488,936.25 × 488,936.25
  4. Step 4: Simplify right side
    207,659.81x = 239,058,656,564.06
  5. Step 5: Solve for x
    x = 239,058,656,564.06/207,659.81
  6. Step 6: Final answer
    x = 1,151,203.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.