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Finding the Third Proportional to 275,886 and 414,748

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Solution

The third proportional to 275,886 and 414,748 is: 623,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,886 : 414,748 = 414,748 : x
  2. Step 2: Convert to fraction form
    275,886/414,748 = 414,748/x
  3. Step 3: Cross multiply
    275,886x = 414,748 × 414,748
  4. Step 4: Simplify right side
    275,886x = 172,015,903,504
  5. Step 5: Solve for x
    x = 172,015,903,504/275,886
  6. Step 6: Final answer
    x = 623,503.56

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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.