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Finding the Third Proportional to 299,622.38 and 643,713.75

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Solution

The third proportional to 299,622.38 and 643,713.75 is: 1,382,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,622.38 : 643,713.75 = 643,713.75 : x
  2. Step 2: Convert to fraction form
    299,622.38/643,713.75 = 643,713.75/x
  3. Step 3: Cross multiply
    299,622.38x = 643,713.75 × 643,713.75
  4. Step 4: Simplify right side
    299,622.38x = 414,367,391,939.06
  5. Step 5: Solve for x
    x = 414,367,391,939.06/299,622.38
  6. Step 6: Final answer
    x = 1,382,965.45

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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.