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Finding the Third Proportional to 635,242.50 and 1,322,973

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Solution

The third proportional to 635,242.50 and 1,322,973 is: 2,755,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,242.50 : 1,322,973 = 1,322,973 : x
  2. Step 2: Convert to fraction form
    635,242.50/1,322,973 = 1,322,973/x
  3. Step 3: Cross multiply
    635,242.50x = 1,322,973 × 1,322,973
  4. Step 4: Simplify right side
    635,242.50x = 1,750,257,558,729
  5. Step 5: Solve for x
    x = 1,750,257,558,729/635,242.50
  6. Step 6: Final answer
    x = 2,755,258.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.