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Finding the Third Proportional to 333,836.44 and 707,403.38

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Solution

The third proportional to 333,836.44 and 707,403.38 is: 1,498,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,836.44 : 707,403.38 = 707,403.38 : x
  2. Step 2: Convert to fraction form
    333,836.44/707,403.38 = 707,403.38/x
  3. Step 3: Cross multiply
    333,836.44x = 707,403.38 × 707,403.38
  4. Step 4: Simplify right side
    333,836.44x = 500,419,534,961.39
  5. Step 5: Solve for x
    x = 500,419,534,961.39/333,836.44
  6. Step 6: Final answer
    x = 1,498,996.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.