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Finding the Third Proportional to 386,577 and 799,670.25

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Solution

The third proportional to 386,577 and 799,670.25 is: 1,654,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,577 : 799,670.25 = 799,670.25 : x
  2. Step 2: Convert to fraction form
    386,577/799,670.25 = 799,670.25/x
  3. Step 3: Cross multiply
    386,577x = 799,670.25 × 799,670.25
  4. Step 4: Simplify right side
    386,577x = 639,472,508,735.06
  5. Step 5: Solve for x
    x = 639,472,508,735.06/386,577
  6. Step 6: Final answer
    x = 1,654,191.81

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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.