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Finding the Third Proportional to 366,936 and 561,343.50

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Solution

The third proportional to 366,936 and 561,343.50 is: 858,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,936 : 561,343.50 = 561,343.50 : x
  2. Step 2: Convert to fraction form
    366,936/561,343.50 = 561,343.50/x
  3. Step 3: Cross multiply
    366,936x = 561,343.50 × 561,343.50
  4. Step 4: Simplify right side
    366,936x = 315,106,524,992.25
  5. Step 5: Solve for x
    x = 315,106,524,992.25/366,936
  6. Step 6: Final answer
    x = 858,750.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.