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Finding the Third Proportional to 312,157.13 and 670,924.69

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Solution

The third proportional to 312,157.13 and 670,924.69 is: 1,442,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,157.13 : 670,924.69 = 670,924.69 : x
  2. Step 2: Convert to fraction form
    312,157.13/670,924.69 = 670,924.69/x
  3. Step 3: Cross multiply
    312,157.13x = 670,924.69 × 670,924.69
  4. Step 4: Simplify right side
    312,157.13x = 450,139,936,296.97
  5. Step 5: Solve for x
    x = 450,139,936,296.97/312,157.13
  6. Step 6: Final answer
    x = 1,442,029.99

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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.