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Finding the Third Proportional to 275,896 and 370,760

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Solution

The third proportional to 275,896 and 370,760 is: 498,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,896 : 370,760 = 370,760 : x
  2. Step 2: Convert to fraction form
    275,896/370,760 = 370,760/x
  3. Step 3: Cross multiply
    275,896x = 370,760 × 370,760
  4. Step 4: Simplify right side
    275,896x = 137,462,977,600
  5. Step 5: Solve for x
    x = 137,462,977,600/275,896
  6. Step 6: Final answer
    x = 498,242.01

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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.