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Finding the Third Proportional to 386,574.19 and 799,665.75

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Solution

The third proportional to 386,574.19 and 799,665.75 is: 1,654,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,574.19 : 799,665.75 = 799,665.75 : x
  2. Step 2: Convert to fraction form
    386,574.19/799,665.75 = 799,665.75/x
  3. Step 3: Cross multiply
    386,574.19x = 799,665.75 × 799,665.75
  4. Step 4: Simplify right side
    386,574.19x = 639,465,311,723.06
  5. Step 5: Solve for x
    x = 639,465,311,723.06/386,574.19
  6. Step 6: Final answer
    x = 1,654,185.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.