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Finding the Third Proportional to 338,668.88 and 705,363.75

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Solution

The third proportional to 338,668.88 and 705,363.75 is: 1,469,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,668.88 : 705,363.75 = 705,363.75 : x
  2. Step 2: Convert to fraction form
    338,668.88/705,363.75 = 705,363.75/x
  3. Step 3: Cross multiply
    338,668.88x = 705,363.75 × 705,363.75
  4. Step 4: Simplify right side
    338,668.88x = 497,538,019,814.06
  5. Step 5: Solve for x
    x = 497,538,019,814.06/338,668.88
  6. Step 6: Final answer
    x = 1,469,098.75

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