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Finding the Third Proportional to 333,634.50 and 733,686.75

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Solution

The third proportional to 333,634.50 and 733,686.75 is: 1,613,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,634.50 : 733,686.75 = 733,686.75 : x
  2. Step 2: Convert to fraction form
    333,634.50/733,686.75 = 733,686.75/x
  3. Step 3: Cross multiply
    333,634.50x = 733,686.75 × 733,686.75
  4. Step 4: Simplify right side
    333,634.50x = 538,296,247,125.56
  5. Step 5: Solve for x
    x = 538,296,247,125.56/333,634.50
  6. Step 6: Final answer
    x = 1,613,431.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.