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Finding the Third Proportional to 333,650.25 and 733,719.75

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Solution

The third proportional to 333,650.25 and 733,719.75 is: 1,613,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,650.25 : 733,719.75 = 733,719.75 : x
  2. Step 2: Convert to fraction form
    333,650.25/733,719.75 = 733,719.75/x
  3. Step 3: Cross multiply
    333,650.25x = 733,719.75 × 733,719.75
  4. Step 4: Simplify right side
    333,650.25x = 538,344,671,540.06
  5. Step 5: Solve for x
    x = 538,344,671,540.06/333,650.25
  6. Step 6: Final answer
    x = 1,613,499.98

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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.