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Finding the Third Proportional to 175,959 and 386,907

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Solution

The third proportional to 175,959 and 386,907 is: 850,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,959 : 386,907 = 386,907 : x
  2. Step 2: Convert to fraction form
    175,959/386,907 = 386,907/x
  3. Step 3: Cross multiply
    175,959x = 386,907 × 386,907
  4. Step 4: Simplify right side
    175,959x = 149,697,026,649
  5. Step 5: Solve for x
    x = 149,697,026,649/175,959
  6. Step 6: Final answer
    x = 850,749.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.