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Finding the Third Proportional to 275,304 and 370,509.75

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Solution

The third proportional to 275,304 and 370,509.75 is: 498,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,304 : 370,509.75 = 370,509.75 : x
  2. Step 2: Convert to fraction form
    275,304/370,509.75 = 370,509.75/x
  3. Step 3: Cross multiply
    275,304x = 370,509.75 × 370,509.75
  4. Step 4: Simplify right side
    275,304x = 137,277,474,845.06
  5. Step 5: Solve for x
    x = 137,277,474,845.06/275,304
  6. Step 6: Final answer
    x = 498,639.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.