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Finding the Third Proportional to 239,304 and 370,494

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Solution

The third proportional to 239,304 and 370,494 is: 573,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,304 : 370,494 = 370,494 : x
  2. Step 2: Convert to fraction form
    239,304/370,494 = 370,494/x
  3. Step 3: Cross multiply
    239,304x = 370,494 × 370,494
  4. Step 4: Simplify right side
    239,304x = 137,265,804,036
  5. Step 5: Solve for x
    x = 137,265,804,036/239,304
  6. Step 6: Final answer
    x = 573,604.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.