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Finding the Third Proportional to 294,338.75 and 635,731.75

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Solution

The third proportional to 294,338.75 and 635,731.75 is: 1,373,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,338.75 : 635,731.75 = 635,731.75 : x
  2. Step 2: Convert to fraction form
    294,338.75/635,731.75 = 635,731.75/x
  3. Step 3: Cross multiply
    294,338.75x = 635,731.75 × 635,731.75
  4. Step 4: Simplify right side
    294,338.75x = 404,154,857,958.06
  5. Step 5: Solve for x
    x = 404,154,857,958.06/294,338.75
  6. Step 6: Final answer
    x = 1,373,094.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.