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Finding the Third Proportional to 293,577 and 638,166

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Solution

The third proportional to 293,577 and 638,166 is: 1,387,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,577 : 638,166 = 638,166 : x
  2. Step 2: Convert to fraction form
    293,577/638,166 = 638,166/x
  3. Step 3: Cross multiply
    293,577x = 638,166 × 638,166
  4. Step 4: Simplify right side
    293,577x = 407,255,843,556
  5. Step 5: Solve for x
    x = 407,255,843,556/293,577
  6. Step 6: Final answer
    x = 1,387,219.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.