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Finding the Third Proportional to 275,888 and 370,745

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Solution

The third proportional to 275,888 and 370,745 is: 498,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,888 : 370,745 = 370,745 : x
  2. Step 2: Convert to fraction form
    275,888/370,745 = 370,745/x
  3. Step 3: Cross multiply
    275,888x = 370,745 × 370,745
  4. Step 4: Simplify right side
    275,888x = 137,451,855,025
  5. Step 5: Solve for x
    x = 137,451,855,025/275,888
  6. Step 6: Final answer
    x = 498,216.14

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Why These Related Problems?

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