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Finding the Third Proportional to 394,577 and 882,850

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Solution

The third proportional to 394,577 and 882,850 is: 1,975,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,577 : 882,850 = 882,850 : x
  2. Step 2: Convert to fraction form
    394,577/882,850 = 882,850/x
  3. Step 3: Cross multiply
    394,577x = 882,850 × 882,850
  4. Step 4: Simplify right side
    394,577x = 779,424,122,500
  5. Step 5: Solve for x
    x = 779,424,122,500/394,577
  6. Step 6: Final answer
    x = 1,975,340.99

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.