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Finding the Third Proportional to 295,318 and 442,886

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Solution

The third proportional to 295,318 and 442,886 is: 664,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,318 : 442,886 = 442,886 : x
  2. Step 2: Convert to fraction form
    295,318/442,886 = 442,886/x
  3. Step 3: Cross multiply
    295,318x = 442,886 × 442,886
  4. Step 4: Simplify right side
    295,318x = 196,148,008,996
  5. Step 5: Solve for x
    x = 196,148,008,996/295,318
  6. Step 6: Final answer
    x = 664,192.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.