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Finding the Third Proportional to 291,945.75 and 633,736.88

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Solution

The third proportional to 291,945.75 and 633,736.88 is: 1,375,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,945.75 : 633,736.88 = 633,736.88 : x
  2. Step 2: Convert to fraction form
    291,945.75/633,736.88 = 633,736.88/x
  3. Step 3: Cross multiply
    291,945.75x = 633,736.88 × 633,736.88
  4. Step 4: Simplify right side
    291,945.75x = 401,622,426,734.77
  5. Step 5: Solve for x
    x = 401,622,426,734.77/291,945.75
  6. Step 6: Final answer
    x = 1,375,674.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.