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Finding the Third Proportional to 312,418.69 and 672,303.38

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Solution

The third proportional to 312,418.69 and 672,303.38 is: 1,446,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418.69 : 672,303.38 = 672,303.38 : x
  2. Step 2: Convert to fraction form
    312,418.69/672,303.38 = 672,303.38/x
  3. Step 3: Cross multiply
    312,418.69x = 672,303.38 × 672,303.38
  4. Step 4: Simplify right side
    312,418.69x = 451,991,828,036.39
  5. Step 5: Solve for x
    x = 451,991,828,036.39/312,418.69
  6. Step 6: Final answer
    x = 1,446,750.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.