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Finding the Third Proportional to 291,946.50 and 633,738.38

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Solution

The third proportional to 291,946.50 and 633,738.38 is: 1,375,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,946.50 : 633,738.38 = 633,738.38 : x
  2. Step 2: Convert to fraction form
    291,946.50/633,738.38 = 633,738.38/x
  3. Step 3: Cross multiply
    291,946.50x = 633,738.38 × 633,738.38
  4. Step 4: Simplify right side
    291,946.50x = 401,624,327,947.64
  5. Step 5: Solve for x
    x = 401,624,327,947.64/291,946.50
  6. Step 6: Final answer
    x = 1,375,677.83

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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.