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Finding the Third Proportional to 333,836.81 and 707,404.13

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Solution

The third proportional to 333,836.81 and 707,404.13 is: 1,498,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,836.81 : 707,404.13 = 707,404.13 : x
  2. Step 2: Convert to fraction form
    333,836.81/707,404.13 = 707,404.13/x
  3. Step 3: Cross multiply
    333,836.81x = 707,404.13 × 707,404.13
  4. Step 4: Simplify right side
    333,836.81x = 500,420,596,067.02
  5. Step 5: Solve for x
    x = 500,420,596,067.02/333,836.81
  6. Step 6: Final answer
    x = 1,498,997.65

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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.