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Finding the Third Proportional to 395,986.50 and 810,426

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Solution

The third proportional to 395,986.50 and 810,426 is: 1,658,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,986.50 : 810,426 = 810,426 : x
  2. Step 2: Convert to fraction form
    395,986.50/810,426 = 810,426/x
  3. Step 3: Cross multiply
    395,986.50x = 810,426 × 810,426
  4. Step 4: Simplify right side
    395,986.50x = 656,790,301,476
  5. Step 5: Solve for x
    x = 656,790,301,476/395,986.50
  6. Step 6: Final answer
    x = 1,658,617.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.