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Finding the Third Proportional to 339,457.50 and 706,815.75

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Solution

The third proportional to 339,457.50 and 706,815.75 is: 1,471,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,457.50 : 706,815.75 = 706,815.75 : x
  2. Step 2: Convert to fraction form
    339,457.50/706,815.75 = 706,815.75/x
  3. Step 3: Cross multiply
    339,457.50x = 706,815.75 × 706,815.75
  4. Step 4: Simplify right side
    339,457.50x = 499,588,504,448.06
  5. Step 5: Solve for x
    x = 499,588,504,448.06/339,457.50
  6. Step 6: Final answer
    x = 1,471,726.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.