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Finding the Third Proportional to 275,930 and 370,810

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Solution

The third proportional to 275,930 and 370,810 is: 498,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,930 : 370,810 = 370,810 : x
  2. Step 2: Convert to fraction form
    275,930/370,810 = 370,810/x
  3. Step 3: Cross multiply
    275,930x = 370,810 × 370,810
  4. Step 4: Simplify right side
    275,930x = 137,500,056,100
  5. Step 5: Solve for x
    x = 137,500,056,100/275,930
  6. Step 6: Final answer
    x = 498,314.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.